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LCM of 952, 974, 156, 856

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


Find the LCM of 952, 974, 156, 856 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 952, 974, 156, 856. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 952,974,156,856

Given numbers are 952,974,156,856

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

The LCM of 952,974,156,856 is 1934702952.

Find LCM of 952,974,156,856 with Prime Factorization


2 952, 974, 156, 856
2 476, 487, 78, 428
2 238, 487, 39, 214
119, 487, 39, 107

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

2 x 2 x 2 x 119 x 487 x 39 x 107 = 1934702952

Therefore, the lowest common multiple of 952,974,156,856 is 1934702952.

LCM Formula to Find Lowest Common Multiple of 952,974,156,856

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.

952 x 974 x 156 x 856 = 123820988928

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.

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

974 : 1, 2, 487, 974

156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

856 : 1, 2, 4, 8, 107, 214, 428, 856

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 952,974,156,856, is 2.

Now, the common factors can be found like this.

952:2x 2x 2x 7x 17

974:2x 487

156:2x 2x 3x 13

856:2x 2x 2x 107

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 2 = 32

Therefore, the value for common factors is 32.

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 = 123820988928/(2x32)

LCM = 123820988928/64

LCM = 1934702952

Thus, we can understand that the LCM of 952,974,156,856 is 1934702952.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 952, 974, 156, 856

1. What is the LCM of 952, 974, 156, 856?

Answer: LCM of 952, 974, 156, 856 is 1934702952.

2. How to calculate the LCM of 952, 974, 156, 856?

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 952, 974, 156, 856.

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}.