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LCM of 831, 426, 152, 554, 707

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


Find the LCM of 831, 426, 152, 554, 707 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 831, 426, 152, 554, 707. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 831,426,152,554,707

Given numbers are 831,426,152,554,707

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

The LCM of 831,426,152,554,707 is 6340483464.

Find LCM of 831,426,152,554,707 with Prime Factorization


2 831, 426, 152, 554, 707
3 831, 213, 76, 277, 707
277 277, 71, 76, 277, 707
1, 71, 76, 1, 707

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

2 x 3 x 277 x 1 x 71 x 76 x 1 x 707 = 6340483464

Therefore, the lowest common multiple of 831,426,152,554,707 is 6340483464.

LCM Formula to Find Lowest Common Multiple of 831,426,152,554,707

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.

831 x 426 x 152 x 554 x 707 = 21075767034336

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.

831 : 1, 3, 277, 831

426 : 1, 2, 3, 6, 71, 142, 213, 426

152 : 1, 2, 4, 8, 19, 38, 76, 152

554 : 1, 2, 277, 554

707 : 1, 7, 101, 707

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 831,426,152,554,707, is 1.

Now, the common factors can be found like this.

831:3x 277

426:2x 3x 71

152:2x 2x 2x 19

554:2x 277

707:7x 101

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 3x 277 = 3324

Therefore, the value for common factors is 3324.

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 = 21075767034336/(1x3324)

LCM = 21075767034336/3324

LCM = 6340483464

Thus, we can understand that the LCM of 831,426,152,554,707 is 6340483464.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 831, 426, 152, 554, 707

1. What is the LCM of 831, 426, 152, 554, 707?

Answer: LCM of 831, 426, 152, 554, 707 is 6340483464.

2. How to calculate the LCM of 831, 426, 152, 554, 707?

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 831, 426, 152, 554, 707.

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}.