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LCM of 972, 746, 718, 919

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


Find the LCM of 972, 746, 718, 919 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, 746, 718, 919. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 972,746,718,919

Given numbers are 972,746,718,919

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

The LCM of 972,746,718,919 is 119614838076.

Find LCM of 972,746,718,919 with Prime Factorization


2 972, 746, 718, 919
486, 373, 359, 919

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

2 x 486 x 373 x 359 x 919 = 119614838076

Therefore, the lowest common multiple of 972,746,718,919 is 119614838076.

LCM Formula to Find Lowest Common Multiple of 972,746,718,919

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 746 x 718 x 919 = 478459352304

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

746 : 1, 2, 373, 746

718 : 1, 2, 359, 718

919 : 1, 919

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,746,718,919, is 1.

Now, the common factors can be found like this.

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

746:2x 373

718:2x 359

919:919

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 478459352304/(1x4)

LCM = 478459352304/4

LCM = 119614838076

Thus, we can understand that the LCM of 972,746,718,919 is 119614838076.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 972, 746, 718, 919

1. What is the LCM of 972, 746, 718, 919?

Answer: LCM of 972, 746, 718, 919 is 119614838076.

2. How to calculate the LCM of 972, 746, 718, 919?

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, 746, 718, 919.

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}.