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LCM of 745, 491, 242, 312

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


Find the LCM of 745, 491, 242, 312 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 745, 491, 242, 312. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 745,491,242,312

Given numbers are 745,491,242,312

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

The LCM of 745,491,242,312 is 13809492840.

Find LCM of 745,491,242,312 with Prime Factorization


2 745, 491, 242, 312
745, 491, 121, 156

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

2 x 745 x 491 x 121 x 156 = 13809492840

Therefore, the lowest common multiple of 745,491,242,312 is 13809492840.

LCM Formula to Find Lowest Common Multiple of 745,491,242,312

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.

745 x 491 x 242 x 312 = 27618985680

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.

745 : 1, 5, 149, 745

491 : 1, 491

242 : 1, 2, 11, 22, 121, 242

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 745,491,242,312, is 1.

Now, the common factors can be found like this.

745:5x 149

491:491

242:2x 11x 11

312:2x 2x 2x 3x 13

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 = 27618985680/(1x2)

LCM = 27618985680/2

LCM = 13809492840

Thus, we can understand that the LCM of 745,491,242,312 is 13809492840.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 745, 491, 242, 312

1. What is the LCM of 745, 491, 242, 312?

Answer: LCM of 745, 491, 242, 312 is 13809492840.

2. How to calculate the LCM of 745, 491, 242, 312?

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 745, 491, 242, 312.

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}.