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LCM of 557, 214, 749

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


Find the LCM of 557, 214, 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 557, 214, 749. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 557,214,749

Given numbers are 557,214,749

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

The LCM of 557,214,749 is 834386.

Find LCM of 557,214,749 with Prime Factorization


107 557, 214, 749
557, 2, 7

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

107 x 557 x 2 x 7 = 834386

Therefore, the lowest common multiple of 557,214,749 is 834386.

LCM Formula to Find Lowest Common Multiple of 557,214,749

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.

557 x 214 x 749 = 89279302

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.

557 : 1, 557

214 : 1, 2, 107, 214

749 : 1, 7, 107, 749

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 557,214,749, is 1.

Now, the common factors can be found like this.

557:557

214:2x 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.

107 = 107

Therefore, the value for common factors is 107.

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 = 89279302/(1x107)

LCM = 89279302/107

LCM = 834386

Thus, we can understand that the LCM of 557,214,749 is 834386.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 557, 214, 749

1. What is the LCM of 557, 214, 749?

Answer: LCM of 557, 214, 749 is 834386.

2. How to calculate the LCM of 557, 214, 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 557, 214, 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}.