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LCM of 887, 754, 224, 931

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


Find the LCM of 887, 754, 224, 931 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 887, 754, 224, 931. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 887,754,224,931

Given numbers are 887,754,224,931

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

The LCM of 887,754,224,931 is 9962415008.

Find LCM of 887,754,224,931 with Prime Factorization


2 887, 754, 224, 931
7 887, 377, 112, 931
887, 377, 16, 133

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

2 x 7 x 887 x 377 x 16 x 133 = 9962415008

Therefore, the lowest common multiple of 887,754,224,931 is 9962415008.

LCM Formula to Find Lowest Common Multiple of 887,754,224,931

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.

887 x 754 x 224 x 931 = 139473810112

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.

887 : 1, 887

754 : 1, 2, 13, 26, 29, 58, 377, 754

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

931 : 1, 7, 19, 49, 133, 931

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 887,754,224,931, is 1.

Now, the common factors can be found like this.

887:887

754:2x 13x 29

224:2x 2x 2x 2x 2x 7

931:7x 7x 19

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 139473810112/(1x14)

LCM = 139473810112/14

LCM = 9962415008

Thus, we can understand that the LCM of 887,754,224,931 is 9962415008.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 887, 754, 224, 931

1. What is the LCM of 887, 754, 224, 931?

Answer: LCM of 887, 754, 224, 931 is 9962415008.

2. How to calculate the LCM of 887, 754, 224, 931?

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 887, 754, 224, 931.

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}.