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LCM of 975, 482, 482

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


Find the LCM of 975, 482, 482 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 975, 482, 482. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 975,482,482

Given numbers are 975,482,482

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

The LCM of 975,482,482 is 469950.

Find LCM of 975,482,482 with Prime Factorization


2 975, 482, 482
241 975, 241, 241
975, 1, 1

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

2 x 241 x 975 x 1 x 1 = 469950

Therefore, the lowest common multiple of 975,482,482 is 469950.

LCM Formula to Find Lowest Common Multiple of 975,482,482

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.

975 x 482 x 482 = 226515900

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.

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

482 : 1, 2, 241, 482

482 : 1, 2, 241, 482

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 975,482,482, is 1.

Now, the common factors can be found like this.

975:3x 5x 5x 13

482:2x 241

482:2x 241

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

2x 241 = 482

Therefore, the value for common factors is 482.

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 = 226515900/(1x482)

LCM = 226515900/482

LCM = 469950

Thus, we can understand that the LCM of 975,482,482 is 469950.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 975, 482, 482

1. What is the LCM of 975, 482, 482?

Answer: LCM of 975, 482, 482 is 469950.

2. How to calculate the LCM of 975, 482, 482?

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 975, 482, 482.

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}.