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LCM of 952, 858, 221, 491

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


Find the LCM of 952, 858, 221, 491 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 952, 858, 221, 491. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 952,858,221,491

Given numbers are 952,858,221,491

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

The LCM of 952,858,221,491 is 200528328.

Find LCM of 952,858,221,491 with Prime Factorization


2 952, 858, 221, 491
13 476, 429, 221, 491
17 476, 33, 17, 491
28, 33, 1, 491

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

2 x 13 x 17 x 28 x 33 x 1 x 491 = 200528328

Therefore, the lowest common multiple of 952,858,221,491 is 200528328.

LCM Formula to Find Lowest Common Multiple of 952,858,221,491

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.

952 x 858 x 221 x 491 = 88633520976

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.

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

221 : 1, 13, 17, 221

491 : 1, 491

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 952,858,221,491, is 1.

Now, the common factors can be found like this.

952:2x 2x 2x 7x 17

858:2x 3x 11x 13

221:13x 17

491:491

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

2x 13x 17 = 442

Therefore, the value for common factors is 442.

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 = 88633520976/(1x442)

LCM = 88633520976/442

LCM = 200528328

Thus, we can understand that the LCM of 952,858,221,491 is 200528328.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 952, 858, 221, 491

1. What is the LCM of 952, 858, 221, 491?

Answer: LCM of 952, 858, 221, 491 is 200528328.

2. How to calculate the LCM of 952, 858, 221, 491?

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 952, 858, 221, 491.

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}.