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LCM of 965, 399, 420, 124, 154

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


Find the LCM of 965, 399, 420, 124, 154 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 965, 399, 420, 124, 154. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 965,399,420,124,154

Given numbers are 965,399,420,124,154

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

The LCM of 965,399,420,124,154 is 525187740.

Find LCM of 965,399,420,124,154 with Prime Factorization


2 965, 399, 420, 124, 154
2 965, 399, 210, 62, 77
3 965, 399, 105, 31, 77
5 965, 133, 35, 31, 77
7 193, 133, 7, 31, 77
193, 19, 1, 31, 11

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

2 x 2 x 3 x 5 x 7 x 193 x 19 x 1 x 31 x 11 = 525187740

Therefore, the lowest common multiple of 965,399,420,124,154 is 525187740.

LCM Formula to Find Lowest Common Multiple of 965,399,420,124,154

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.

965 x 399 x 420 x 124 x 154 = 3088103911200

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.

965 : 1, 5, 193, 965

399 : 1, 3, 7, 19, 21, 57, 133, 399

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

124 : 1, 2, 4, 31, 62, 124

154 : 1, 2, 7, 11, 14, 22, 77, 154

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 965,399,420,124,154, is 1.

Now, the common factors can be found like this.

965:5x 193

399:3x 7x 19

420:2x 2x 3x 5x 7

124:2x 2x 31

154:2x 7x 11

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 3x 5x 7x 7 = 5880

Therefore, the value for common factors is 5880.

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 = 3088103911200/(1x5880)

LCM = 3088103911200/5880

LCM = 525187740

Thus, we can understand that the LCM of 965,399,420,124,154 is 525187740.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 965, 399, 420, 124, 154

1. What is the LCM of 965, 399, 420, 124, 154?

Answer: LCM of 965, 399, 420, 124, 154 is 525187740.

2. How to calculate the LCM of 965, 399, 420, 124, 154?

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 965, 399, 420, 124, 154.

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}.