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LCM of 787, 393, 655, 613

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


Find the LCM of 787, 393, 655, 613 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 787, 393, 655, 613. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 787,393,655,613

Given numbers are 787,393,655,613

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

The LCM of 787,393,655,613 is 947976915.

Find LCM of 787,393,655,613 with Prime Factorization


131 787, 393, 655, 613
787, 3, 5, 613

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

131 x 787 x 3 x 5 x 613 = 947976915

Therefore, the lowest common multiple of 787,393,655,613 is 947976915.

LCM Formula to Find Lowest Common Multiple of 787,393,655,613

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.

787 x 393 x 655 x 613 = 124184975865

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.

787 : 1, 787

393 : 1, 3, 131, 393

655 : 1, 5, 131, 655

613 : 1, 613

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 787,393,655,613, is 1.

Now, the common factors can be found like this.

787:787

393:3x 131

655:5x 131

613:613

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

131 = 131

Therefore, the value for common factors is 131.

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 = 124184975865/(1x131)

LCM = 124184975865/131

LCM = 947976915

Thus, we can understand that the LCM of 787,393,655,613 is 947976915.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 787, 393, 655, 613

1. What is the LCM of 787, 393, 655, 613?

Answer: LCM of 787, 393, 655, 613 is 947976915.

2. How to calculate the LCM of 787, 393, 655, 613?

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 787, 393, 655, 613.

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}.