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LCM of 456, 790, 761, 753

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


Find the LCM of 456, 790, 761, 753 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, 790, 761, 753. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 456,790,761,753

Given numbers are 456,790,761,753

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

The LCM of 456,790,761,753 is 34404901320.

Find LCM of 456,790,761,753 with Prime Factorization


2 456, 790, 761, 753
3 228, 395, 761, 753
76, 395, 761, 251

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

2 x 3 x 76 x 395 x 761 x 251 = 34404901320

Therefore, the lowest common multiple of 456,790,761,753 is 34404901320.

LCM Formula to Find Lowest Common Multiple of 456,790,761,753

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 790 x 761 x 753 = 206429407920

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

790 : 1, 2, 5, 10, 79, 158, 395, 790

761 : 1, 761

753 : 1, 3, 251, 753

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 456,790,761,753, is 1.

Now, the common factors can be found like this.

456:2x 2x 2x 3x 19

790:2x 5x 79

761:761

753:3x 251

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 206429407920/(1x6)

LCM = 206429407920/6

LCM = 34404901320

Thus, we can understand that the LCM of 456,790,761,753 is 34404901320.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 456, 790, 761, 753

1. What is the LCM of 456, 790, 761, 753?

Answer: LCM of 456, 790, 761, 753 is 34404901320.

2. How to calculate the LCM of 456, 790, 761, 753?

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, 790, 761, 753.

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}.