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LCM of 386, 178, 749, 749

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


Find the LCM of 386, 178, 749, 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 386, 178, 749, 749. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 386,178,749,749

Given numbers are 386,178,749,749

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

The LCM of 386,178,749,749 is 25731146.

Find LCM of 386,178,749,749 with Prime Factorization


2 386, 178, 749, 749
7 193, 89, 749, 749
107 193, 89, 107, 107
193, 89, 1, 1

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

2 x 7 x 107 x 193 x 89 x 1 x 1 = 25731146

Therefore, the lowest common multiple of 386,178,749,749 is 25731146.

LCM Formula to Find Lowest Common Multiple of 386,178,749,749

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.

386 x 178 x 749 x 749 = 38545256708

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.

386 : 1, 2, 193, 386

178 : 1, 2, 89, 178

749 : 1, 7, 107, 749

749 : 1, 7, 107, 749

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 386,178,749,749, is 1.

Now, the common factors can be found like this.

386:2x 193

178:2x 89

749:7x 107

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 7x 107 = 1498

Therefore, the value for common factors is 1498.

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 = 38545256708/(1x1498)

LCM = 38545256708/1498

LCM = 25731146

Thus, we can understand that the LCM of 386,178,749,749 is 25731146.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 386, 178, 749, 749

1. What is the LCM of 386, 178, 749, 749?

Answer: LCM of 386, 178, 749, 749 is 25731146.

2. How to calculate the LCM of 386, 178, 749, 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 386, 178, 749, 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}.