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LCM of 126, 759, 564

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


Find the LCM of 126, 759, 564 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 126, 759, 564. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 126,759,564

Given numbers are 126,759,564

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

The LCM of 126,759,564 is 2996532.

Find LCM of 126,759,564 with Prime Factorization


2 126, 759, 564
3 63, 759, 282
21, 253, 94

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

2 x 3 x 21 x 253 x 94 = 2996532

Therefore, the lowest common multiple of 126,759,564 is 2996532.

LCM Formula to Find Lowest Common Multiple of 126,759,564

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.

126 x 759 x 564 = 53937576

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.

126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

759 : 1, 3, 11, 23, 33, 69, 253, 759

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 126,759,564, is 3.

Now, the common factors can be found like this.

126:2x 3x 3x 7

759:3x 11x 23

564:2x 2x 3x 47

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 53937576/(3x6)

LCM = 53937576/18

LCM = 2996532

Thus, we can understand that the LCM of 126,759,564 is 2996532.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 126, 759, 564

1. What is the LCM of 126, 759, 564?

Answer: LCM of 126, 759, 564 is 2996532.

2. How to calculate the LCM of 126, 759, 564?

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 126, 759, 564.

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}.