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LCM of 757, 842, 121, 570

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


Find the LCM of 757, 842, 121, 570 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, 842, 121, 570. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 757,842,121,570

Given numbers are 757,842,121,570

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

The LCM of 757,842,121,570 is 21980532090.

Find LCM of 757,842,121,570 with Prime Factorization


2 757, 842, 121, 570
757, 421, 121, 285

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

2 x 757 x 421 x 121 x 285 = 21980532090

Therefore, the lowest common multiple of 757,842,121,570 is 21980532090.

LCM Formula to Find Lowest Common Multiple of 757,842,121,570

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 842 x 121 x 570 = 43961064180

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

842 : 1, 2, 421, 842

121 : 1, 11, 121

570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 757,842,121,570, is 1.

Now, the common factors can be found like this.

757:757

842:2x 421

121:11x 11

570:2x 3x 5x 19

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 = 43961064180/(1x2)

LCM = 43961064180/2

LCM = 21980532090

Thus, we can understand that the LCM of 757,842,121,570 is 21980532090.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 757, 842, 121, 570

1. What is the LCM of 757, 842, 121, 570?

Answer: LCM of 757, 842, 121, 570 is 21980532090.

2. How to calculate the LCM of 757, 842, 121, 570?

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, 842, 121, 570.

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}.