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LCM of 972, 682, 456, 475

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


Find the LCM of 972, 682, 456, 475 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, 682, 456, 475. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 972,682,456,475

Given numbers are 972,682,456,475

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

The LCM of 972,682,456,475 is 314879400.

Find LCM of 972,682,456,475 with Prime Factorization


2 972, 682, 456, 475
2 486, 341, 228, 475
3 243, 341, 114, 475
19 81, 341, 38, 475
81, 341, 2, 25

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

2 x 2 x 3 x 19 x 81 x 341 x 2 x 25 = 314879400

Therefore, the lowest common multiple of 972,682,456,475 is 314879400.

LCM Formula to Find Lowest Common Multiple of 972,682,456,475

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 682 x 456 x 475 = 143585006400

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

682 : 1, 2, 11, 22, 31, 62, 341, 682

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

475 : 1, 5, 19, 25, 95, 475

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,682,456,475, is 1.

Now, the common factors can be found like this.

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

682:2x 11x 31

456:2x 2x 2x 3x 19

475:5x 5x 19

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 19 = 456

Therefore, the value for common factors is 456.

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 = 143585006400/(1x456)

LCM = 143585006400/456

LCM = 314879400

Thus, we can understand that the LCM of 972,682,456,475 is 314879400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 972, 682, 456, 475

1. What is the LCM of 972, 682, 456, 475?

Answer: LCM of 972, 682, 456, 475 is 314879400.

2. How to calculate the LCM of 972, 682, 456, 475?

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, 682, 456, 475.

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}.