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LCM of 310, 948, 681, 615, 849

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


Find the LCM of 310, 948, 681, 615, 849 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 310, 948, 681, 615, 849. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 310,948,681,615,849

Given numbers are 310,948,681,615,849

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

The LCM of 310,948,681,615,849 is 387022474140.

Find LCM of 310,948,681,615,849 with Prime Factorization


2 310, 948, 681, 615, 849
3 155, 474, 681, 615, 849
5 155, 158, 227, 205, 283
31, 158, 227, 41, 283

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

2 x 3 x 5 x 31 x 158 x 227 x 41 x 283 = 387022474140

Therefore, the lowest common multiple of 310,948,681,615,849 is 387022474140.

LCM Formula to Find Lowest Common Multiple of 310,948,681,615,849

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.

310 x 948 x 681 x 615 x 849 = 104496068017800

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.

310 : 1, 2, 5, 10, 31, 62, 155, 310

948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

681 : 1, 3, 227, 681

615 : 1, 3, 5, 15, 41, 123, 205, 615

849 : 1, 3, 283, 849

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 310,948,681,615,849, is 1.

Now, the common factors can be found like this.

310:2x 5x 31

948:2x 2x 3x 79

681:3x 227

615:3x 5x 41

849:3x 283

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

2x 3x 3x 3x 5 = 270

Therefore, the value for common factors is 270.

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 = 104496068017800/(1x270)

LCM = 104496068017800/270

LCM = 387022474140

Thus, we can understand that the LCM of 310,948,681,615,849 is 387022474140.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 310, 948, 681, 615, 849

1. What is the LCM of 310, 948, 681, 615, 849?

Answer: LCM of 310, 948, 681, 615, 849 is 387022474140.

2. How to calculate the LCM of 310, 948, 681, 615, 849?

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 310, 948, 681, 615, 849.

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}.