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LCM of 277, 456, 700, 813

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


Find the LCM of 277, 456, 700, 813 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 277, 456, 700, 813. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 277,456,700,813

Given numbers are 277,456,700,813

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

The LCM of 277,456,700,813 is 5990346600.

Find LCM of 277,456,700,813 with Prime Factorization


2 277, 456, 700, 813
2 277, 228, 350, 813
3 277, 114, 175, 813
277, 38, 175, 271

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

2 x 2 x 3 x 277 x 38 x 175 x 271 = 5990346600

Therefore, the lowest common multiple of 277,456,700,813 is 5990346600.

LCM Formula to Find Lowest Common Multiple of 277,456,700,813

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.

277 x 456 x 700 x 813 = 71884159200

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.

277 : 1, 277

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

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

813 : 1, 3, 271, 813

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 277,456,700,813, is 1.

Now, the common factors can be found like this.

277:277

456:2x 2x 2x 3x 19

700:2x 2x 5x 5x 7

813:3x 271

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 3 = 12

Therefore, the value for common factors is 12.

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 = 71884159200/(1x12)

LCM = 71884159200/12

LCM = 5990346600

Thus, we can understand that the LCM of 277,456,700,813 is 5990346600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 277, 456, 700, 813

1. What is the LCM of 277, 456, 700, 813?

Answer: LCM of 277, 456, 700, 813 is 5990346600.

2. How to calculate the LCM of 277, 456, 700, 813?

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 277, 456, 700, 813.

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}.