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LCM of 517, 533, 358, 222, 956

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


Find the LCM of 517, 533, 358, 222, 956 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 517, 533, 358, 222, 956. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 517,533,358,222,956

Given numbers are 517,533,358,222,956

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

The LCM of 517,533,358,222,956 is 5234216162604.

Find LCM of 517,533,358,222,956 with Prime Factorization


2 517, 533, 358, 222, 956
517, 533, 179, 111, 478

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

2 x 517 x 533 x 179 x 111 x 478 = 5234216162604

Therefore, the lowest common multiple of 517,533,358,222,956 is 5234216162604.

LCM Formula to Find Lowest Common Multiple of 517,533,358,222,956

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.

517 x 533 x 358 x 222 x 956 = 20936864650416

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.

517 : 1, 11, 47, 517

533 : 1, 13, 41, 533

358 : 1, 2, 179, 358

222 : 1, 2, 3, 6, 37, 74, 111, 222

956 : 1, 2, 4, 239, 478, 956

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 517,533,358,222,956, is 1.

Now, the common factors can be found like this.

517:11x 47

533:13x 41

358:2x 179

222:2x 3x 37

956:2x 2x 239

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 = 20936864650416/(1x4)

LCM = 20936864650416/4

LCM = 5234216162604

Thus, we can understand that the LCM of 517,533,358,222,956 is 5234216162604.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 517, 533, 358, 222, 956

1. What is the LCM of 517, 533, 358, 222, 956?

Answer: LCM of 517, 533, 358, 222, 956 is 5234216162604.

2. How to calculate the LCM of 517, 533, 358, 222, 956?

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 517, 533, 358, 222, 956.

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}.