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LCM of 525, 711, 726, 789, 972

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


Find the LCM of 525, 711, 726, 789, 972 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 525, 711, 726, 789, 972. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 525,711,726,789,972

Given numbers are 525,711,726,789,972

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

The LCM of 525,711,726,789,972 is 427634291700.

Find LCM of 525,711,726,789,972 with Prime Factorization


2 525, 711, 726, 789, 972
3 525, 711, 363, 789, 486
3 175, 237, 121, 263, 162
175, 79, 121, 263, 54

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

2 x 3 x 3 x 175 x 79 x 121 x 263 x 54 = 427634291700

Therefore, the lowest common multiple of 525,711,726,789,972 is 427634291700.

LCM Formula to Find Lowest Common Multiple of 525,711,726,789,972

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.

525 x 711 x 726 x 789 x 972 = 207830265766200

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.

525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

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

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

789 : 1, 3, 263, 789

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 525,711,726,789,972, is 3.

Now, the common factors can be found like this.

525:3x 5x 5x 7

711:3x 3x 79

726:2x 3x 11x 11

789:3x 263

972:2x 2x 3x 3x 3x 3x 3

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

2x 3x 3x 3x 3 = 162

Therefore, the value for common factors is 162.

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 = 207830265766200/(3x162)

LCM = 207830265766200/486

LCM = 427634291700

Thus, we can understand that the LCM of 525,711,726,789,972 is 427634291700.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 525, 711, 726, 789, 972

1. What is the LCM of 525, 711, 726, 789, 972?

Answer: LCM of 525, 711, 726, 789, 972 is 427634291700.

2. How to calculate the LCM of 525, 711, 726, 789, 972?

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 525, 711, 726, 789, 972.

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}.