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LCM of 932, 104, 565, 668, 557

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


Find the LCM of 932, 104, 565, 668, 557 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 932, 104, 565, 668, 557. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 932,104,565,668,557

Given numbers are 932,104,565,668,557

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

The LCM of 932,104,565,668,557 is 1273530570520.

Find LCM of 932,104,565,668,557 with Prime Factorization


2 932, 104, 565, 668, 557
2 466, 52, 565, 334, 557
233, 26, 565, 167, 557

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

2 x 2 x 233 x 26 x 565 x 167 x 557 = 1273530570520

Therefore, the lowest common multiple of 932,104,565,668,557 is 1273530570520.

LCM Formula to Find Lowest Common Multiple of 932,104,565,668,557

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.

932 x 104 x 565 x 668 x 557 = 20376489128320

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.

932 : 1, 2, 4, 233, 466, 932

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

565 : 1, 5, 113, 565

668 : 1, 2, 4, 167, 334, 668

557 : 1, 557

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 932,104,565,668,557, is 1.

Now, the common factors can be found like this.

932:2x 2x 233

104:2x 2x 2x 13

565:5x 113

668:2x 2x 167

557:557

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 2 = 16

Therefore, the value for common factors is 16.

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 = 20376489128320/(1x16)

LCM = 20376489128320/16

LCM = 1273530570520

Thus, we can understand that the LCM of 932,104,565,668,557 is 1273530570520.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 932, 104, 565, 668, 557

1. What is the LCM of 932, 104, 565, 668, 557?

Answer: LCM of 932, 104, 565, 668, 557 is 1273530570520.

2. How to calculate the LCM of 932, 104, 565, 668, 557?

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 932, 104, 565, 668, 557.

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}.