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LCM of 411, 748, 672, 578, 917

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


Find the LCM of 411, 748, 672, 578, 917 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 411, 748, 672, 578, 917. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 411,748,672,578,917

Given numbers are 411,748,672,578,917

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

The LCM of 411,748,672,578,917 is 38339960736.

Find LCM of 411,748,672,578,917 with Prime Factorization


2 411, 748, 672, 578, 917
2 411, 374, 336, 289, 917
3 411, 187, 168, 289, 917
7 137, 187, 56, 289, 917
17 137, 187, 8, 289, 131
137, 11, 8, 17, 131

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

2 x 2 x 3 x 7 x 17 x 137 x 11 x 8 x 17 x 131 = 38339960736

Therefore, the lowest common multiple of 411,748,672,578,917 is 38339960736.

LCM Formula to Find Lowest Common Multiple of 411,748,672,578,917

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.

411 x 748 x 672 x 578 x 917 = 109498927862016

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.

411 : 1, 3, 137, 411

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

578 : 1, 2, 17, 34, 289, 578

917 : 1, 7, 131, 917

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 411,748,672,578,917, is 1.

Now, the common factors can be found like this.

411:3x 137

748:2x 2x 11x 17

672:2x 2x 2x 2x 2x 3x 7

578:2x 17x 17

917:7x 131

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 3x 7x 17 = 2856

Therefore, the value for common factors is 2856.

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 = 109498927862016/(1x2856)

LCM = 109498927862016/2856

LCM = 38339960736

Thus, we can understand that the LCM of 411,748,672,578,917 is 38339960736.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 411, 748, 672, 578, 917

1. What is the LCM of 411, 748, 672, 578, 917?

Answer: LCM of 411, 748, 672, 578, 917 is 38339960736.

2. How to calculate the LCM of 411, 748, 672, 578, 917?

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 411, 748, 672, 578, 917.

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}.