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LCM of 708, 856, 667, 480, 657

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


Find the LCM of 708, 856, 667, 480, 657 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 708, 856, 667, 480, 657. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 708,856,667,480,657

Given numbers are 708,856,667,480,657

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

The LCM of 708,856,667,480,657 is 442636247520.

Find LCM of 708,856,667,480,657 with Prime Factorization


2 708, 856, 667, 480, 657
2 354, 428, 667, 240, 657
2 177, 214, 667, 120, 657
3 177, 107, 667, 60, 657
59, 107, 667, 20, 219

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

2 x 2 x 2 x 3 x 59 x 107 x 667 x 20 x 219 = 442636247520

Therefore, the lowest common multiple of 708,856,667,480,657 is 442636247520.

LCM Formula to Find Lowest Common Multiple of 708,856,667,480,657

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.

708 x 856 x 667 x 480 x 657 = 127479239285760

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.

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

856 : 1, 2, 4, 8, 107, 214, 428, 856

667 : 1, 23, 29, 667

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

657 : 1, 3, 9, 73, 219, 657

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 708,856,667,480,657, is 1.

Now, the common factors can be found like this.

708:2x 2x 3x 59

856:2x 2x 2x 107

667:23x 29

480:2x 2x 2x 2x 2x 3x 5

657:3x 3x 73

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 2x 3x 3 = 288

Therefore, the value for common factors is 288.

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 = 127479239285760/(1x288)

LCM = 127479239285760/288

LCM = 442636247520

Thus, we can understand that the LCM of 708,856,667,480,657 is 442636247520.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 708, 856, 667, 480, 657

1. What is the LCM of 708, 856, 667, 480, 657?

Answer: LCM of 708, 856, 667, 480, 657 is 442636247520.

2. How to calculate the LCM of 708, 856, 667, 480, 657?

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 708, 856, 667, 480, 657.

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}.