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LCM of 458, 952, 543, 830, 952

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


Find the LCM of 458, 952, 543, 830, 952 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 458, 952, 543, 830, 952. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 458,952,543,830,952

Given numbers are 458,952,543,830,952

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

The LCM of 458,952,543,830,952 is 49127012760.

Find LCM of 458,952,543,830,952 with Prime Factorization


2 458, 952, 543, 830, 952
2 229, 476, 543, 415, 476
2 229, 238, 543, 415, 238
7 229, 119, 543, 415, 119
17 229, 17, 543, 415, 17
229, 1, 543, 415, 1

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

2 x 2 x 2 x 7 x 17 x 229 x 1 x 543 x 415 x 1 = 49127012760

Therefore, the lowest common multiple of 458,952,543,830,952 is 49127012760.

LCM Formula to Find Lowest Common Multiple of 458,952,543,830,952

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.

458 x 952 x 543 x 830 x 952 = 187075664590080

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.

458 : 1, 2, 229, 458

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

543 : 1, 3, 181, 543

830 : 1, 2, 5, 10, 83, 166, 415, 830

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 458,952,543,830,952, is 1.

Now, the common factors can be found like this.

458:2x 229

952:2x 2x 2x 7x 17

543:3x 181

830:2x 5x 83

952:2x 2x 2x 7x 17

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 7x 17 = 3808

Therefore, the value for common factors is 3808.

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 = 187075664590080/(1x3808)

LCM = 187075664590080/3808

LCM = 49127012760

Thus, we can understand that the LCM of 458,952,543,830,952 is 49127012760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 458, 952, 543, 830, 952

1. What is the LCM of 458, 952, 543, 830, 952?

Answer: LCM of 458, 952, 543, 830, 952 is 49127012760.

2. How to calculate the LCM of 458, 952, 543, 830, 952?

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 458, 952, 543, 830, 952.

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}.