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LCM of 653, 490, 828, 472, 546

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


Find the LCM of 653, 490, 828, 472, 546 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 653, 490, 828, 472, 546. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 653,490,828,472,546

Given numbers are 653,490,828,472,546

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

The LCM of 653,490,828,472,546 is 203205267720.

Find LCM of 653,490,828,472,546 with Prime Factorization


2 653, 490, 828, 472, 546
2 653, 245, 414, 236, 273
3 653, 245, 207, 118, 273
7 653, 245, 69, 118, 91
653, 35, 69, 118, 13

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

2 x 2 x 3 x 7 x 653 x 35 x 69 x 118 x 13 = 203205267720

Therefore, the lowest common multiple of 653,490,828,472,546 is 203205267720.

LCM Formula to Find Lowest Common Multiple of 653,490,828,472,546

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.

653 x 490 x 828 x 472 x 546 = 68276969953920

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.

653 : 1, 653

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

472 : 1, 2, 4, 8, 59, 118, 236, 472

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 653,490,828,472,546, is 1.

Now, the common factors can be found like this.

653:653

490:2x 5x 7x 7

828:2x 2x 3x 3x 23

472:2x 2x 2x 59

546:2x 3x 7x 13

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 2x 2x 3x 7 = 336

Therefore, the value for common factors is 336.

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 = 68276969953920/(1x336)

LCM = 68276969953920/336

LCM = 203205267720

Thus, we can understand that the LCM of 653,490,828,472,546 is 203205267720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 653, 490, 828, 472, 546

1. What is the LCM of 653, 490, 828, 472, 546?

Answer: LCM of 653, 490, 828, 472, 546 is 203205267720.

2. How to calculate the LCM of 653, 490, 828, 472, 546?

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 653, 490, 828, 472, 546.

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}.