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LCM of 761, 671, 788, 302, 753

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


Find the LCM of 761, 671, 788, 302, 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 761, 671, 788, 302, 753. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 761,671,788,302,753

Given numbers are 761,671,788,302,753

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

The LCM of 761,671,788,302,753 is 45751497955284.

Find LCM of 761,671,788,302,753 with Prime Factorization


2 761, 671, 788, 302, 753
761, 671, 394, 151, 753

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

2 x 761 x 671 x 394 x 151 x 753 = 45751497955284

Therefore, the lowest common multiple of 761,671,788,302,753 is 45751497955284.

LCM Formula to Find Lowest Common Multiple of 761,671,788,302,753

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.

761 x 671 x 788 x 302 x 753 = 91502995910568

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.

761 : 1, 761

671 : 1, 11, 61, 671

788 : 1, 2, 4, 197, 394, 788

302 : 1, 2, 151, 302

753 : 1, 3, 251, 753

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 761,671,788,302,753, is 1.

Now, the common factors can be found like this.

761:761

671:11x 61

788:2x 2x 197

302:2x 151

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.

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 = 91502995910568/(1x2)

LCM = 91502995910568/2

LCM = 45751497955284

Thus, we can understand that the LCM of 761,671,788,302,753 is 45751497955284.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 761, 671, 788, 302, 753

1. What is the LCM of 761, 671, 788, 302, 753?

Answer: LCM of 761, 671, 788, 302, 753 is 45751497955284.

2. How to calculate the LCM of 761, 671, 788, 302, 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 761, 671, 788, 302, 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}.