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LCM of 972, 638, 517, 771, 438

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


Find the LCM of 972, 638, 517, 771, 438 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 972, 638, 517, 771, 438. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 972,638,517,771,438

Given numbers are 972,638,517,771,438

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

The LCM of 972,638,517,771,438 is 273407730156.

Find LCM of 972,638,517,771,438 with Prime Factorization


2 972, 638, 517, 771, 438
3 486, 319, 517, 771, 219
11 162, 319, 517, 257, 73
162, 29, 47, 257, 73

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

2 x 3 x 11 x 162 x 29 x 47 x 257 x 73 = 273407730156

Therefore, the lowest common multiple of 972,638,517,771,438 is 273407730156.

LCM Formula to Find Lowest Common Multiple of 972,638,517,771,438

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.

972 x 638 x 517 x 771 x 438 = 108269461141776

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.

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

638 : 1, 2, 11, 22, 29, 58, 319, 638

517 : 1, 11, 47, 517

771 : 1, 3, 257, 771

438 : 1, 2, 3, 6, 73, 146, 219, 438

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,638,517,771,438, is 1.

Now, the common factors can be found like this.

972:2x 2x 3x 3x 3x 3x 3

638:2x 11x 29

517:11x 47

771:3x 257

438:2x 3x 73

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 3x 3x 11 = 396

Therefore, the value for common factors is 396.

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 = 108269461141776/(1x396)

LCM = 108269461141776/396

LCM = 273407730156

Thus, we can understand that the LCM of 972,638,517,771,438 is 273407730156.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 972, 638, 517, 771, 438

1. What is the LCM of 972, 638, 517, 771, 438?

Answer: LCM of 972, 638, 517, 771, 438 is 273407730156.

2. How to calculate the LCM of 972, 638, 517, 771, 438?

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 972, 638, 517, 771, 438.

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}.