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LCM of 665, 490, 312, 743

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


Find the LCM of 665, 490, 312, 743 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 665, 490, 312, 743. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 665,490,312,743

Given numbers are 665,490,312,743

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

The LCM of 665,490,312,743 is 1079103480.

Find LCM of 665,490,312,743 with Prime Factorization


2 665, 490, 312, 743
5 665, 245, 156, 743
7 133, 49, 156, 743
19, 7, 156, 743

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

2 x 5 x 7 x 19 x 7 x 156 x 743 = 1079103480

Therefore, the lowest common multiple of 665,490,312,743 is 1079103480.

LCM Formula to Find Lowest Common Multiple of 665,490,312,743

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.

665 x 490 x 312 x 743 = 75537243600

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.

665 : 1, 5, 7, 19, 35, 95, 133, 665

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

743 : 1, 743

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 665,490,312,743, is 1.

Now, the common factors can be found like this.

665:5x 7x 19

490:2x 5x 7x 7

312:2x 2x 2x 3x 13

743:743

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

2x 5x 7 = 70

Therefore, the value for common factors is 70.

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 = 75537243600/(1x70)

LCM = 75537243600/70

LCM = 1079103480

Thus, we can understand that the LCM of 665,490,312,743 is 1079103480.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 665, 490, 312, 743

1. What is the LCM of 665, 490, 312, 743?

Answer: LCM of 665, 490, 312, 743 is 1079103480.

2. How to calculate the LCM of 665, 490, 312, 743?

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 665, 490, 312, 743.

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}.