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LCM of 946, 735, 374, 797

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


Find the LCM of 946, 735, 374, 797 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 946, 735, 374, 797. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 946,735,374,797

Given numbers are 946,735,374,797

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

The LCM of 946,735,374,797 is 9420755190.

Find LCM of 946,735,374,797 with Prime Factorization


2 946, 735, 374, 797
11 473, 735, 187, 797
43, 735, 17, 797

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

2 x 11 x 43 x 735 x 17 x 797 = 9420755190

Therefore, the lowest common multiple of 946,735,374,797 is 9420755190.

LCM Formula to Find Lowest Common Multiple of 946,735,374,797

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.

946 x 735 x 374 x 797 = 207256614180

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.

946 : 1, 2, 11, 22, 43, 86, 473, 946

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

374 : 1, 2, 11, 17, 22, 34, 187, 374

797 : 1, 797

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 946,735,374,797, is 1.

Now, the common factors can be found like this.

946:2x 11x 43

735:3x 5x 7x 7

374:2x 11x 17

797:797

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 207256614180/(1x22)

LCM = 207256614180/22

LCM = 9420755190

Thus, we can understand that the LCM of 946,735,374,797 is 9420755190.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 946, 735, 374, 797

1. What is the LCM of 946, 735, 374, 797?

Answer: LCM of 946, 735, 374, 797 is 9420755190.

2. How to calculate the LCM of 946, 735, 374, 797?

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 946, 735, 374, 797.

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}.