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LCM of 456, 443, 952, 748

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


Find the LCM of 456, 443, 952, 748 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 456, 443, 952, 748. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 456,443,952,748

Given numbers are 456,443,952,748

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

The LCM of 456,443,952,748 is 264428472.

Find LCM of 456,443,952,748 with Prime Factorization


2 456, 443, 952, 748
2 228, 443, 476, 374
2 114, 443, 238, 187
17 57, 443, 119, 187
57, 443, 7, 11

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

2 x 2 x 2 x 17 x 57 x 443 x 7 x 11 = 264428472

Therefore, the lowest common multiple of 456,443,952,748 is 264428472.

LCM Formula to Find Lowest Common Multiple of 456,443,952,748

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.

456 x 443 x 952 x 748 = 143849088768

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.

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

443 : 1, 443

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

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 456,443,952,748, is 1.

Now, the common factors can be found like this.

456:2x 2x 2x 3x 19

443:443

952:2x 2x 2x 7x 17

748:2x 2x 11x 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 17 = 544

Therefore, the value for common factors is 544.

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 = 143849088768/(1x544)

LCM = 143849088768/544

LCM = 264428472

Thus, we can understand that the LCM of 456,443,952,748 is 264428472.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 456, 443, 952, 748

1. What is the LCM of 456, 443, 952, 748?

Answer: LCM of 456, 443, 952, 748 is 264428472.

2. How to calculate the LCM of 456, 443, 952, 748?

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 456, 443, 952, 748.

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}.