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LCM of 615, 542, 959, 270, 948

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


Find the LCM of 615, 542, 959, 270, 948 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 615, 542, 959, 270, 948. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 615,542,959,270,948

Given numbers are 615,542,959,270,948

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

The LCM of 615,542,959,270,948 is 454561454340.

Find LCM of 615,542,959,270,948 with Prime Factorization


2 615, 542, 959, 270, 948
3 615, 271, 959, 135, 474
5 205, 271, 959, 45, 158
41, 271, 959, 9, 158

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

2 x 3 x 5 x 41 x 271 x 959 x 9 x 158 = 454561454340

Therefore, the lowest common multiple of 615,542,959,270,948 is 454561454340.

LCM Formula to Find Lowest Common Multiple of 615,542,959,270,948

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.

615 x 542 x 959 x 270 x 948 = 81821061781200

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.

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

542 : 1, 2, 271, 542

959 : 1, 7, 137, 959

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 615,542,959,270,948, is 1.

Now, the common factors can be found like this.

615:3x 5x 41

542:2x 271

959:7x 137

270:2x 3x 3x 3x 5

948:2x 2x 3x 79

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 3x 3x 5 = 180

Therefore, the value for common factors is 180.

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 = 81821061781200/(1x180)

LCM = 81821061781200/180

LCM = 454561454340

Thus, we can understand that the LCM of 615,542,959,270,948 is 454561454340.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 615, 542, 959, 270, 948

1. What is the LCM of 615, 542, 959, 270, 948?

Answer: LCM of 615, 542, 959, 270, 948 is 454561454340.

2. How to calculate the LCM of 615, 542, 959, 270, 948?

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 615, 542, 959, 270, 948.

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}.