What are the Factors of 35832160 ?

Factors of 35832160 are . There are integers that are factors of 35832160.

How to Find the LCM of 260, 214, 736, 736, 749 ?

Least Common Multiple of 260, 214, 736, 736, 749 = 35832160 Step 1: Divide all the numbers with common prime numbers having remainder zero. Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(260, 214, 736, 736, 749) = 2 x 2 x 2 x 2 x 2 x 5 x 7 x 13 x 23 x 107 = 35832160.

What are the Factors of 35832160 ?

Factors of 35832160 are . There are integers that are factors of 35832160.

How to Find the LCM of 260, 214, 736, 736, 749 ?

Least Common Multiple of 260, 214, 736, 736, 749 = 35832160 Step 1: Divide all the numbers with common prime numbers having remainder zero. Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(260, 214, 736, 736, 749) = 2 x 2 x 2 x 2 x 2 x 5 x 7 x 13 x 23 x 107 = 35832160.

LCM of 260, 214, 736, 736, 749

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023

Find the LCM of 260, 214, 736, 736, 749 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 260, 214, 736, 736, 749. So, keep reading to learn more.

Calculate the LCM of 260,214,736,736,749

Given numbers are 260,214,736,736,749

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 260,214,736,736,749 is 35832160.

Find LCM of 260,214,736,736,749 with Prime Factorization

2	260, 214, 736, 736, 749
2	130, 107, 368, 368, 749
2	65, 107, 184, 184, 749
2	65, 107, 92, 92, 749
2	65, 107, 46, 46, 749
23	65, 107, 23, 23, 749
107	65, 107, 1, 1, 749
	65, 1, 1, 1, 7

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 2 x 2 x 2 x 23 x 107 x 65 x 1 x 1 x 1 x 7 = 35832160

Therefore, the lowest common multiple of 260,214,736,736,749 is 35832160.

LCM Formula to Find Lowest Common Multiple of 260,214,736,736,749

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

260 x 214 x 736 x 736 x 749 = 22574834114560

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

214 : 1, 2, 107, 214

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

749 : 1, 7, 107, 749

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 260,214,736,736,749, is 1.

Now, the common factors can be found like this.

260:2x 2x 5x 13

214:2x 107

736:2x 2x 2x 2x 2x 23

749:7x 107

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 2x 2x 2x 2x 2x 23x 107 = 630016

Therefore, the value for common factors is 630016.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 22574834114560/(1x630016)

LCM = 22574834114560/630016

LCM = 35832160

Thus, we can understand that the LCM of 260,214,736,736,749 is 35832160.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 260, 214, 736, 736, 749

1. What is the LCM of 260, 214, 736, 736, 749?

Answer: LCM of 260, 214, 736, 736, 749 is 35832160.

2. How to calculate the LCM of 260, 214, 736, 736, 749?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 260, 214, 736, 736, 749.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.