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LCM of 747, 998, 924

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


Find the LCM of 747, 998, 924 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 747, 998, 924. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 747,998,924

Given numbers are 747,998,924

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

The LCM of 747,998,924 is 114807924.

Find LCM of 747,998,924 with Prime Factorization


2 747, 998, 924
3 747, 499, 462
249, 499, 154

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

2 x 3 x 249 x 499 x 154 = 114807924

Therefore, the lowest common multiple of 747,998,924 is 114807924.

LCM Formula to Find Lowest Common Multiple of 747,998,924

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.

747 x 998 x 924 = 688847544

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.

747 : 1, 3, 9, 83, 249, 747

998 : 1, 2, 499, 998

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 747,998,924, is 1.

Now, the common factors can be found like this.

747:3x 3x 83

998:2x 499

924:2x 2x 3x 7x 11

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 688847544/(1x6)

LCM = 688847544/6

LCM = 114807924

Thus, we can understand that the LCM of 747,998,924 is 114807924.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 747, 998, 924

1. What is the LCM of 747, 998, 924?

Answer: LCM of 747, 998, 924 is 114807924.

2. How to calculate the LCM of 747, 998, 924?

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 747, 998, 924.

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}.