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LCM of 617, 946, 440, 129

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


Find the LCM of 617, 946, 440, 129 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 617, 946, 440, 129. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 617,946,440,129

Given numbers are 617,946,440,129

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

The LCM of 617,946,440,129 is 35020920.

Find LCM of 617,946,440,129 with Prime Factorization


2 617, 946, 440, 129
11 617, 473, 220, 129
43 617, 43, 20, 129
617, 1, 20, 3

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

2 x 11 x 43 x 617 x 1 x 20 x 3 = 35020920

Therefore, the lowest common multiple of 617,946,440,129 is 35020920.

LCM Formula to Find Lowest Common Multiple of 617,946,440,129

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.

617 x 946 x 440 x 129 = 33129790320

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.

617 : 1, 617

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

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

129 : 1, 3, 43, 129

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 617,946,440,129, is 1.

Now, the common factors can be found like this.

617:617

946:2x 11x 43

440:2x 2x 2x 5x 11

129:3x 43

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

2x 11x 43 = 946

Therefore, the value for common factors is 946.

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 = 33129790320/(1x946)

LCM = 33129790320/946

LCM = 35020920

Thus, we can understand that the LCM of 617,946,440,129 is 35020920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 617, 946, 440, 129

1. What is the LCM of 617, 946, 440, 129?

Answer: LCM of 617, 946, 440, 129 is 35020920.

2. How to calculate the LCM of 617, 946, 440, 129?

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 617, 946, 440, 129.

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}.