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LCM of 952, 168, 473, 348, 744

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


Find the LCM of 952, 168, 473, 348, 744 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, 168, 473, 348, 744. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 952,168,473,348,744

Given numbers are 952,168,473,348,744

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

The LCM of 952,168,473,348,744 is 1214448312.

Find LCM of 952,168,473,348,744 with Prime Factorization


2 952, 168, 473, 348, 744
2 476, 84, 473, 174, 372
2 238, 42, 473, 87, 186
3 119, 21, 473, 87, 93
7 119, 7, 473, 29, 31
17, 1, 473, 29, 31

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

2 x 2 x 2 x 3 x 7 x 17 x 1 x 473 x 29 x 31 = 1214448312

Therefore, the lowest common multiple of 952,168,473,348,744 is 1214448312.

LCM Formula to Find Lowest Common Multiple of 952,168,473,348,744

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 168 x 473 x 348 x 744 = 19586622375936

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

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

473 : 1, 11, 43, 473

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 952,168,473,348,744, is 1.

Now, the common factors can be found like this.

952:2x 2x 2x 7x 17

168:2x 2x 2x 3x 7

473:11x 43

348:2x 2x 3x 29

744:2x 2x 2x 3x 31

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 2x 2x 2x 2x 2x 2x 3x 3x 7 = 16128

Therefore, the value for common factors is 16128.

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 = 19586622375936/(1x16128)

LCM = 19586622375936/16128

LCM = 1214448312

Thus, we can understand that the LCM of 952,168,473,348,744 is 1214448312.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 952, 168, 473, 348, 744

1. What is the LCM of 952, 168, 473, 348, 744?

Answer: LCM of 952, 168, 473, 348, 744 is 1214448312.

2. How to calculate the LCM of 952, 168, 473, 348, 744?

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, 168, 473, 348, 744.

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}.