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LCM of 757, 169, 845, 392

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


Find the LCM of 757, 169, 845, 392 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 757, 169, 845, 392. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 757,169,845,392

Given numbers are 757,169,845,392

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

The LCM of 757,169,845,392 is 250748680.

Find LCM of 757,169,845,392 with Prime Factorization


13 757, 169, 845, 392
13 757, 13, 65, 392
757, 1, 5, 392

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

13 x 13 x 757 x 1 x 5 x 392 = 250748680

Therefore, the lowest common multiple of 757,169,845,392 is 250748680.

LCM Formula to Find Lowest Common Multiple of 757,169,845,392

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.

757 x 169 x 845 x 392 = 42376526920

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.

757 : 1, 757

169 : 1, 13, 169

845 : 1, 5, 13, 65, 169, 845

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 757,169,845,392, is 1.

Now, the common factors can be found like this.

757:757

169:13x 13

845:5x 13x 13

392:2x 2x 2x 7x 7

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

13x 13 = 169

Therefore, the value for common factors is 169.

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 = 42376526920/(1x169)

LCM = 42376526920/169

LCM = 250748680

Thus, we can understand that the LCM of 757,169,845,392 is 250748680.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 757, 169, 845, 392

1. What is the LCM of 757, 169, 845, 392?

Answer: LCM of 757, 169, 845, 392 is 250748680.

2. How to calculate the LCM of 757, 169, 845, 392?

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 757, 169, 845, 392.

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}.