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LCM of 976, 849, 220

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


Find the LCM of 976, 849, 220 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 976, 849, 220. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 976,849,220

Given numbers are 976,849,220

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

The LCM of 976,849,220 is 45574320.

Find LCM of 976,849,220 with Prime Factorization


2 976, 849, 220
2 488, 849, 110
244, 849, 55

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

2 x 2 x 244 x 849 x 55 = 45574320

Therefore, the lowest common multiple of 976,849,220 is 45574320.

LCM Formula to Find Lowest Common Multiple of 976,849,220

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.

976 x 849 x 220 = 182297280

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.

976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

849 : 1, 3, 283, 849

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 976,849,220, is 1.

Now, the common factors can be found like this.

976:2x 2x 2x 2x 61

849:3x 283

220:2x 2x 5x 11

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 182297280/(1x4)

LCM = 182297280/4

LCM = 45574320

Thus, we can understand that the LCM of 976,849,220 is 45574320.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 976, 849, 220

1. What is the LCM of 976, 849, 220?

Answer: LCM of 976, 849, 220 is 45574320.

2. How to calculate the LCM of 976, 849, 220?

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 976, 849, 220.

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}.