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LCM of 458, 124, 629, 893

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


Find the LCM of 458, 124, 629, 893 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, 124, 629, 893. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 458,124,629,893

Given numbers are 458,124,629,893

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

The LCM of 458,124,629,893 is 15949948012.

Find LCM of 458,124,629,893 with Prime Factorization


2 458, 124, 629, 893
229, 62, 629, 893

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

2 x 229 x 62 x 629 x 893 = 15949948012

Therefore, the lowest common multiple of 458,124,629,893 is 15949948012.

LCM Formula to Find Lowest Common Multiple of 458,124,629,893

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 124 x 629 x 893 = 31899896024

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

124 : 1, 2, 4, 31, 62, 124

629 : 1, 17, 37, 629

893 : 1, 19, 47, 893

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 458,124,629,893, is 1.

Now, the common factors can be found like this.

458:2x 229

124:2x 2x 31

629:17x 37

893:19x 47

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

2 = 2

Therefore, the value for common factors is 2.

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 = 31899896024/(1x2)

LCM = 31899896024/2

LCM = 15949948012

Thus, we can understand that the LCM of 458,124,629,893 is 15949948012.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 458, 124, 629, 893

1. What is the LCM of 458, 124, 629, 893?

Answer: LCM of 458, 124, 629, 893 is 15949948012.

2. How to calculate the LCM of 458, 124, 629, 893?

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, 124, 629, 893.

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}.