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LCM of 141, 968, 846, 894, 997

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


Find the LCM of 141, 968, 846, 894, 997 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 141, 968, 846, 894, 997. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 141,968,846,894,997

Given numbers are 141,968,846,894,997

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

The LCM of 141,968,846,894,997 is 60827105592.

Find LCM of 141,968,846,894,997 with Prime Factorization


2 141, 968, 846, 894, 997
3 141, 484, 423, 447, 997
47 47, 484, 141, 149, 997
1, 484, 3, 149, 997

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

2 x 3 x 47 x 1 x 484 x 3 x 149 x 997 = 60827105592

Therefore, the lowest common multiple of 141,968,846,894,997 is 60827105592.

LCM Formula to Find Lowest Common Multiple of 141,968,846,894,997

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.

141 x 968 x 846 x 894 x 997 = 102919462661664

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.

141 : 1, 3, 47, 141

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

894 : 1, 2, 3, 6, 149, 298, 447, 894

997 : 1, 997

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 141,968,846,894,997, is 1.

Now, the common factors can be found like this.

141:3x 47

968:2x 2x 2x 11x 11

846:2x 3x 3x 47

894:2x 3x 149

997:997

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 3x 3x 47 = 1692

Therefore, the value for common factors is 1692.

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 = 102919462661664/(1x1692)

LCM = 102919462661664/1692

LCM = 60827105592

Thus, we can understand that the LCM of 141,968,846,894,997 is 60827105592.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 141, 968, 846, 894, 997

1. What is the LCM of 141, 968, 846, 894, 997?

Answer: LCM of 141, 968, 846, 894, 997 is 60827105592.

2. How to calculate the LCM of 141, 968, 846, 894, 997?

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 141, 968, 846, 894, 997.

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}.