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LCM of 360, 336, 977

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


Find the LCM of 360, 336, 977 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 360, 336, 977. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 360,336,977

Given numbers are 360,336,977

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

The LCM of 360,336,977 is 4924080.

Find LCM of 360,336,977 with Prime Factorization


2 360, 336, 977
2 180, 168, 977
2 90, 84, 977
3 45, 42, 977
15, 14, 977

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

2 x 2 x 2 x 3 x 15 x 14 x 977 = 4924080

Therefore, the lowest common multiple of 360,336,977 is 4924080.

LCM Formula to Find Lowest Common Multiple of 360,336,977

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.

360 x 336 x 977 = 118177920

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.

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

977 : 1, 977

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 360,336,977, is 1.

Now, the common factors can be found like this.

360:2x 2x 2x 3x 3x 5

336:2x 2x 2x 2x 3x 7

977:977

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 3 = 24

Therefore, the value for common factors is 24.

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 = 118177920/(1x24)

LCM = 118177920/24

LCM = 4924080

Thus, we can understand that the LCM of 360,336,977 is 4924080.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 360, 336, 977

1. What is the LCM of 360, 336, 977?

Answer: LCM of 360, 336, 977 is 4924080.

2. How to calculate the LCM of 360, 336, 977?

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 360, 336, 977.

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}.