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LCM of 277, 968, 646, 947

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


Find the LCM of 277, 968, 646, 947 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, 968, 646, 947. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 277,968,646,947

Given numbers are 277,968,646,947

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

The LCM of 277,968,646,947 is 82017707816.

Find LCM of 277,968,646,947 with Prime Factorization


2 277, 968, 646, 947
277, 484, 323, 947

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

2 x 277 x 484 x 323 x 947 = 82017707816

Therefore, the lowest common multiple of 277,968,646,947 is 82017707816.

LCM Formula to Find Lowest Common Multiple of 277,968,646,947

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 968 x 646 x 947 = 164035415632

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

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

646 : 1, 2, 17, 19, 34, 38, 323, 646

947 : 1, 947

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 277,968,646,947, is 1.

Now, the common factors can be found like this.

277:277

968:2x 2x 2x 11x 11

646:2x 17x 19

947:947

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 = 164035415632/(1x2)

LCM = 164035415632/2

LCM = 82017707816

Thus, we can understand that the LCM of 277,968,646,947 is 82017707816.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 277, 968, 646, 947

1. What is the LCM of 277, 968, 646, 947?

Answer: LCM of 277, 968, 646, 947 is 82017707816.

2. How to calculate the LCM of 277, 968, 646, 947?

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, 968, 646, 947.

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}.