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LCM of 309, 744, 501, 972

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


Find the LCM of 309, 744, 501, 972 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 309, 744, 501, 972. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 309,744,501,972

Given numbers are 309,744,501,972

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

The LCM of 309,744,501,972 is 1036601064.

Find LCM of 309,744,501,972 with Prime Factorization


2 309, 744, 501, 972
2 309, 372, 501, 486
3 309, 186, 501, 243
103, 62, 167, 81

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

2 x 2 x 3 x 103 x 62 x 167 x 81 = 1036601064

Therefore, the lowest common multiple of 309,744,501,972 is 1036601064.

LCM Formula to Find Lowest Common Multiple of 309,744,501,972

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.

309 x 744 x 501 x 972 = 111952914912

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.

309 : 1, 3, 103, 309

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

501 : 1, 3, 167, 501

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

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,744,501,972, is 3.

Now, the common factors can be found like this.

309:3x 103

744:2x 2x 2x 3x 31

501:3x 167

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

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 3 = 36

Therefore, the value for common factors is 36.

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 = 111952914912/(3x36)

LCM = 111952914912/108

LCM = 1036601064

Thus, we can understand that the LCM of 309,744,501,972 is 1036601064.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 309, 744, 501, 972

1. What is the LCM of 309, 744, 501, 972?

Answer: LCM of 309, 744, 501, 972 is 1036601064.

2. How to calculate the LCM of 309, 744, 501, 972?

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 309, 744, 501, 972.

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}.