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LCM of 157, 208, 923, 956, 572

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


Find the LCM of 157, 208, 923, 956, 572 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 157, 208, 923, 956, 572. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 157,208,923,956,572

Given numbers are 157,208,923,956,572

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

The LCM of 157,208,923,956,572 is 6095536304.

Find LCM of 157,208,923,956,572 with Prime Factorization


2 157, 208, 923, 956, 572
2 157, 104, 923, 478, 286
13 157, 52, 923, 239, 143
157, 4, 71, 239, 11

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

2 x 2 x 13 x 157 x 4 x 71 x 239 x 11 = 6095536304

Therefore, the lowest common multiple of 157,208,923,956,572 is 6095536304.

LCM Formula to Find Lowest Common Multiple of 157,208,923,956,572

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.

157 x 208 x 923 x 956 x 572 = 16482330166016

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.

157 : 1, 157

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

923 : 1, 13, 71, 923

956 : 1, 2, 4, 239, 478, 956

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 157,208,923,956,572, is 1.

Now, the common factors can be found like this.

157:157

208:2x 2x 2x 2x 13

923:13x 71

956:2x 2x 239

572:2x 2x 11x 13

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 13x 13 = 2704

Therefore, the value for common factors is 2704.

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 = 16482330166016/(1x2704)

LCM = 16482330166016/2704

LCM = 6095536304

Thus, we can understand that the LCM of 157,208,923,956,572 is 6095536304.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 157, 208, 923, 956, 572

1. What is the LCM of 157, 208, 923, 956, 572?

Answer: LCM of 157, 208, 923, 956, 572 is 6095536304.

2. How to calculate the LCM of 157, 208, 923, 956, 572?

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 157, 208, 923, 956, 572.

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}.