LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 637, 345, 551, 874

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


Find the LCM of 637, 345, 551, 874 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 637, 345, 551, 874. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 637,345,551,874

Given numbers are 637,345,551,874

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

The LCM of 637,345,551,874 is 242181030.

Find LCM of 637,345,551,874 with Prime Factorization


19 637, 345, 551, 874
23 637, 345, 29, 46
637, 15, 29, 2

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

19 x 23 x 637 x 15 x 29 x 2 = 242181030

Therefore, the lowest common multiple of 637,345,551,874 is 242181030.

LCM Formula to Find Lowest Common Multiple of 637,345,551,874

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.

637 x 345 x 551 x 874 = 105833110110

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.

637 : 1, 7, 13, 49, 91, 637

345 : 1, 3, 5, 15, 23, 69, 115, 345

551 : 1, 19, 29, 551

874 : 1, 2, 19, 23, 38, 46, 437, 874

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 637,345,551,874, is 1.

Now, the common factors can be found like this.

637:7x 7x 13

345:3x 5x 23

551:19x 29

874:2x 19x 23

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

19x 23 = 437

Therefore, the value for common factors is 437.

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 = 105833110110/(1x437)

LCM = 105833110110/437

LCM = 242181030

Thus, we can understand that the LCM of 637,345,551,874 is 242181030.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 637, 345, 551, 874

1. What is the LCM of 637, 345, 551, 874?

Answer: LCM of 637, 345, 551, 874 is 242181030.

2. How to calculate the LCM of 637, 345, 551, 874?

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 637, 345, 551, 874.

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}.