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LCM of 419, 754, 962, 160

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


Find the LCM of 419, 754, 962, 160 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 419, 754, 962, 160. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 419,754,962,160

Given numbers are 419,754,962,160

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

The LCM of 419,754,962,160 is 935140960.

Find LCM of 419,754,962,160 with Prime Factorization


2 419, 754, 962, 160
13 419, 377, 481, 80
419, 29, 37, 80

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

2 x 13 x 419 x 29 x 37 x 80 = 935140960

Therefore, the lowest common multiple of 419,754,962,160 is 935140960.

LCM Formula to Find Lowest Common Multiple of 419,754,962,160

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.

419 x 754 x 962 x 160 = 48627329920

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.

419 : 1, 419

754 : 1, 2, 13, 26, 29, 58, 377, 754

962 : 1, 2, 13, 26, 37, 74, 481, 962

160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 419,754,962,160, is 1.

Now, the common factors can be found like this.

419:419

754:2x 13x 29

962:2x 13x 37

160:2x 2x 2x 2x 2x 5

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 13 = 52

Therefore, the value for common factors is 52.

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 = 48627329920/(1x52)

LCM = 48627329920/52

LCM = 935140960

Thus, we can understand that the LCM of 419,754,962,160 is 935140960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 419, 754, 962, 160

1. What is the LCM of 419, 754, 962, 160?

Answer: LCM of 419, 754, 962, 160 is 935140960.

2. How to calculate the LCM of 419, 754, 962, 160?

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 419, 754, 962, 160.

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}.