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LCM of 966, 671, 427, 358

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


Find the LCM of 966, 671, 427, 358 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 966, 671, 427, 358. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 966,671,427,358

Given numbers are 966,671,427,358

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

The LCM of 966,671,427,358 is 116025294.

Find LCM of 966,671,427,358 with Prime Factorization


2 966, 671, 427, 358
7 483, 671, 427, 179
61 69, 671, 61, 179
69, 11, 1, 179

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

2 x 7 x 61 x 69 x 11 x 1 x 179 = 116025294

Therefore, the lowest common multiple of 966,671,427,358 is 116025294.

LCM Formula to Find Lowest Common Multiple of 966,671,427,358

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.

966 x 671 x 427 x 358 = 99085601076

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.

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

671 : 1, 11, 61, 671

427 : 1, 7, 61, 427

358 : 1, 2, 179, 358

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 966,671,427,358, is 1.

Now, the common factors can be found like this.

966:2x 3x 7x 23

671:11x 61

427:7x 61

358:2x 179

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

2x 7x 61 = 854

Therefore, the value for common factors is 854.

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 = 99085601076/(1x854)

LCM = 99085601076/854

LCM = 116025294

Thus, we can understand that the LCM of 966,671,427,358 is 116025294.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 966, 671, 427, 358

1. What is the LCM of 966, 671, 427, 358?

Answer: LCM of 966, 671, 427, 358 is 116025294.

2. How to calculate the LCM of 966, 671, 427, 358?

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 966, 671, 427, 358.

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}.