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LCM of 672, 515, 652, 572, 489

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


Find the LCM of 672, 515, 652, 572, 489 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 672, 515, 652, 572, 489. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 672,515,652,572,489

Given numbers are 672,515,652,572,489

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

The LCM of 672,515,652,572,489 is 8066778720.

Find LCM of 672,515,652,572,489 with Prime Factorization


2 672, 515, 652, 572, 489
2 336, 515, 326, 286, 489
3 168, 515, 163, 143, 489
163 56, 515, 163, 143, 163
56, 515, 1, 143, 1

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

2 x 2 x 3 x 163 x 56 x 515 x 1 x 143 x 1 = 8066778720

Therefore, the lowest common multiple of 672,515,652,572,489 is 8066778720.

LCM Formula to Find Lowest Common Multiple of 672,515,652,572,489

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.

672 x 515 x 652 x 572 x 489 = 63114476705280

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.

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

515 : 1, 5, 103, 515

652 : 1, 2, 4, 163, 326, 652

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

489 : 1, 3, 163, 489

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 672,515,652,572,489, is 1.

Now, the common factors can be found like this.

672:2x 2x 2x 2x 2x 3x 7

515:5x 103

652:2x 2x 163

572:2x 2x 11x 13

489:3x 163

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 163 = 7824

Therefore, the value for common factors is 7824.

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 = 63114476705280/(1x7824)

LCM = 63114476705280/7824

LCM = 8066778720

Thus, we can understand that the LCM of 672,515,652,572,489 is 8066778720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 672, 515, 652, 572, 489

1. What is the LCM of 672, 515, 652, 572, 489?

Answer: LCM of 672, 515, 652, 572, 489 is 8066778720.

2. How to calculate the LCM of 672, 515, 652, 572, 489?

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 672, 515, 652, 572, 489.

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}.