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LCM of 792, 711, 270, 975, 430

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


Find the LCM of 792, 711, 270, 975, 430 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 792, 711, 270, 975, 430. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 792,711,270,975,430

Given numbers are 792,711,270,975,430

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

The LCM of 792,711,270,975,430 is 2623163400.

Find LCM of 792,711,270,975,430 with Prime Factorization


2 792, 711, 270, 975, 430
3 396, 711, 135, 975, 215
3 132, 237, 45, 325, 215
5 44, 79, 15, 325, 215
44, 79, 3, 65, 43

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

2 x 3 x 3 x 5 x 44 x 79 x 3 x 65 x 43 = 2623163400

Therefore, the lowest common multiple of 792,711,270,975,430 is 2623163400.

LCM Formula to Find Lowest Common Multiple of 792,711,270,975,430

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.

792 x 711 x 270 x 975 x 430 = 63742870620000

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.

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

711 : 1, 3, 9, 79, 237, 711

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

430 : 1, 2, 5, 10, 43, 86, 215, 430

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 792,711,270,975,430, is 1.

Now, the common factors can be found like this.

792:2x 2x 2x 3x 3x 11

711:3x 3x 79

270:2x 3x 3x 3x 5

975:3x 5x 5x 13

430:2x 5x 43

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

2x 2x 3x 3x 3x 3x 3x 5x 5 = 24300

Therefore, the value for common factors is 24300.

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 = 63742870620000/(1x24300)

LCM = 63742870620000/24300

LCM = 2623163400

Thus, we can understand that the LCM of 792,711,270,975,430 is 2623163400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 792, 711, 270, 975, 430

1. What is the LCM of 792, 711, 270, 975, 430?

Answer: LCM of 792, 711, 270, 975, 430 is 2623163400.

2. How to calculate the LCM of 792, 711, 270, 975, 430?

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 792, 711, 270, 975, 430.

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}.