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LCM of 468, 708, 737, 854

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


Find the LCM of 468, 708, 737, 854 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 468, 708, 737, 854. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 468,708,737,854

Given numbers are 468,708,737,854

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

The LCM of 468,708,737,854 is 8689468788.

Find LCM of 468,708,737,854 with Prime Factorization


2 468, 708, 737, 854
2 234, 354, 737, 427
3 117, 177, 737, 427
39, 59, 737, 427

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

2 x 2 x 3 x 39 x 59 x 737 x 427 = 8689468788

Therefore, the lowest common multiple of 468,708,737,854 is 8689468788.

LCM Formula to Find Lowest Common Multiple of 468,708,737,854

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.

468 x 708 x 737 x 854 = 208547250912

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.

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

737 : 1, 11, 67, 737

854 : 1, 2, 7, 14, 61, 122, 427, 854

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,708,737,854, is 1.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

708:2x 2x 3x 59

737:11x 67

854:2x 7x 61

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 3 = 24

Therefore, the value for common factors is 24.

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 = 208547250912/(1x24)

LCM = 208547250912/24

LCM = 8689468788

Thus, we can understand that the LCM of 468,708,737,854 is 8689468788.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 468, 708, 737, 854

1. What is the LCM of 468, 708, 737, 854?

Answer: LCM of 468, 708, 737, 854 is 8689468788.

2. How to calculate the LCM of 468, 708, 737, 854?

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 468, 708, 737, 854.

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}.