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LCM of 564, 763, 870, 126

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


Find the LCM of 564, 763, 870, 126 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 564, 763, 870, 126. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 564,763,870,126

Given numbers are 564,763,870,126

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

The LCM of 564,763,870,126 is 187194420.

Find LCM of 564,763,870,126 with Prime Factorization


2 564, 763, 870, 126
3 282, 763, 435, 63
7 94, 763, 145, 21
94, 109, 145, 3

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

2 x 3 x 7 x 94 x 109 x 145 x 3 = 187194420

Therefore, the lowest common multiple of 564,763,870,126 is 187194420.

LCM Formula to Find Lowest Common Multiple of 564,763,870,126

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.

564 x 763 x 870 x 126 = 47172993840

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.

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

763 : 1, 7, 109, 763

870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,763,870,126, is 1.

Now, the common factors can be found like this.

564:2x 2x 3x 47

763:7x 109

870:2x 3x 5x 29

126:2x 3x 3x 7

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 7 = 252

Therefore, the value for common factors is 252.

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 = 47172993840/(1x252)

LCM = 47172993840/252

LCM = 187194420

Thus, we can understand that the LCM of 564,763,870,126 is 187194420.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 564, 763, 870, 126

1. What is the LCM of 564, 763, 870, 126?

Answer: LCM of 564, 763, 870, 126 is 187194420.

2. How to calculate the LCM of 564, 763, 870, 126?

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 564, 763, 870, 126.

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}.