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LCM of 707, 551, 812, 644

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


Find the LCM of 707, 551, 812, 644 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 707, 551, 812, 644. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 707,551,812,644

Given numbers are 707,551,812,644

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

The LCM of 707,551,812,644 is 35839244.

Find LCM of 707,551,812,644 with Prime Factorization


2 707, 551, 812, 644
2 707, 551, 406, 322
7 707, 551, 203, 161
29 101, 551, 29, 23
101, 19, 1, 23

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

2 x 2 x 7 x 29 x 101 x 19 x 1 x 23 = 35839244

Therefore, the lowest common multiple of 707,551,812,644 is 35839244.

LCM Formula to Find Lowest Common Multiple of 707,551,812,644

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.

707 x 551 x 812 x 644 = 203710262896

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.

707 : 1, 7, 101, 707

551 : 1, 19, 29, 551

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 707,551,812,644, is 1.

Now, the common factors can be found like this.

707:7x 101

551:19x 29

812:2x 2x 7x 29

644:2x 2x 7x 23

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 7x 7x 29 = 5684

Therefore, the value for common factors is 5684.

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 = 203710262896/(1x5684)

LCM = 203710262896/5684

LCM = 35839244

Thus, we can understand that the LCM of 707,551,812,644 is 35839244.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 707, 551, 812, 644

1. What is the LCM of 707, 551, 812, 644?

Answer: LCM of 707, 551, 812, 644 is 35839244.

2. How to calculate the LCM of 707, 551, 812, 644?

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 707, 551, 812, 644.

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}.