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LCM of 631, 101, 893, 668, 954

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


Find the LCM of 631, 101, 893, 668, 954 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 631, 101, 893, 668, 954. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 631,101,893,668,954

Given numbers are 631,101,893,668,954

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

The LCM of 631,101,893,668,954 is 18134142887988.

Find LCM of 631,101,893,668,954 with Prime Factorization


2 631, 101, 893, 668, 954
631, 101, 893, 334, 477

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

2 x 631 x 101 x 893 x 334 x 477 = 18134142887988

Therefore, the lowest common multiple of 631,101,893,668,954 is 18134142887988.

LCM Formula to Find Lowest Common Multiple of 631,101,893,668,954

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.

631 x 101 x 893 x 668 x 954 = 36268285775976

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.

631 : 1, 631

101 : 1, 101

893 : 1, 19, 47, 893

668 : 1, 2, 4, 167, 334, 668

954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 631,101,893,668,954, is 1.

Now, the common factors can be found like this.

631:631

101:101

893:19x 47

668:2x 2x 167

954:2x 3x 3x 53

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

2 = 2

Therefore, the value for common factors is 2.

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 = 36268285775976/(1x2)

LCM = 36268285775976/2

LCM = 18134142887988

Thus, we can understand that the LCM of 631,101,893,668,954 is 18134142887988.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 631, 101, 893, 668, 954

1. What is the LCM of 631, 101, 893, 668, 954?

Answer: LCM of 631, 101, 893, 668, 954 is 18134142887988.

2. How to calculate the LCM of 631, 101, 893, 668, 954?

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 631, 101, 893, 668, 954.

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}.