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LCM of 607, 781, 660, 759

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


Find the LCM of 607, 781, 660, 759 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 607, 781, 660, 759. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 607,781,660,759

Given numbers are 607,781,660,759

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

The LCM of 607,781,660,759 is 654212460.

Find LCM of 607,781,660,759 with Prime Factorization


3 607, 781, 660, 759
11 607, 781, 220, 253
607, 71, 20, 23

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

3 x 11 x 607 x 71 x 20 x 23 = 654212460

Therefore, the lowest common multiple of 607,781,660,759 is 654212460.

LCM Formula to Find Lowest Common Multiple of 607,781,660,759

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.

607 x 781 x 660 x 759 = 237479122980

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.

607 : 1, 607

781 : 1, 11, 71, 781

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 607,781,660,759, is 1.

Now, the common factors can be found like this.

607:607

781:11x 71

660:2x 2x 3x 5x 11

759:3x 11x 23

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

3x 11x 11 = 363

Therefore, the value for common factors is 363.

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 = 237479122980/(1x363)

LCM = 237479122980/363

LCM = 654212460

Thus, we can understand that the LCM of 607,781,660,759 is 654212460.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 607, 781, 660, 759

1. What is the LCM of 607, 781, 660, 759?

Answer: LCM of 607, 781, 660, 759 is 654212460.

2. How to calculate the LCM of 607, 781, 660, 759?

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 607, 781, 660, 759.

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}.