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LCM of 852, 700, 977, 568

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


Find the LCM of 852, 700, 977, 568 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 852, 700, 977, 568. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 852,700,977,568

Given numbers are 852,700,977,568

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

The LCM of 852,700,977,568 is 291341400.

Find LCM of 852,700,977,568 with Prime Factorization


2 852, 700, 977, 568
2 426, 350, 977, 284
71 213, 175, 977, 142
3, 175, 977, 2

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

2 x 2 x 71 x 3 x 175 x 977 x 2 = 291341400

Therefore, the lowest common multiple of 852,700,977,568 is 291341400.

LCM Formula to Find Lowest Common Multiple of 852,700,977,568

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.

852 x 700 x 977 x 568 = 330963830400

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.

852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

977 : 1, 977

568 : 1, 2, 4, 8, 71, 142, 284, 568

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 852,700,977,568, is 1.

Now, the common factors can be found like this.

852:2x 2x 3x 71

700:2x 2x 5x 5x 7

977:977

568:2x 2x 2x 71

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 2x 2x 71 = 1136

Therefore, the value for common factors is 1136.

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 = 330963830400/(1x1136)

LCM = 330963830400/1136

LCM = 291341400

Thus, we can understand that the LCM of 852,700,977,568 is 291341400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 852, 700, 977, 568

1. What is the LCM of 852, 700, 977, 568?

Answer: LCM of 852, 700, 977, 568 is 291341400.

2. How to calculate the LCM of 852, 700, 977, 568?

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 852, 700, 977, 568.

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}.