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 960, 208, 874, 908

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


Find the LCM of 960, 208, 874, 908 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 960, 208, 874, 908. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 960,208,874,908

Given numbers are 960,208,874,908

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

The LCM of 960,208,874,908 is 1238003520.

Find LCM of 960,208,874,908 with Prime Factorization


2 960, 208, 874, 908
2 480, 104, 437, 454
2 240, 52, 437, 227
2 120, 26, 437, 227
60, 13, 437, 227

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

2 x 2 x 2 x 2 x 60 x 13 x 437 x 227 = 1238003520

Therefore, the lowest common multiple of 960,208,874,908 is 1238003520.

LCM Formula to Find Lowest Common Multiple of 960,208,874,908

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.

960 x 208 x 874 x 908 = 158464450560

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.

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

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

908 : 1, 2, 4, 227, 454, 908

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 960,208,874,908, is 2.

Now, the common factors can be found like this.

960:2x 2x 2x 2x 2x 2x 3x 5

208:2x 2x 2x 2x 13

874:2x 19x 23

908:2x 2x 227

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 2x 2x 2x 2 = 64

Therefore, the value for common factors is 64.

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 = 158464450560/(2x64)

LCM = 158464450560/128

LCM = 1238003520

Thus, we can understand that the LCM of 960,208,874,908 is 1238003520.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 960, 208, 874, 908

1. What is the LCM of 960, 208, 874, 908?

Answer: LCM of 960, 208, 874, 908 is 1238003520.

2. How to calculate the LCM of 960, 208, 874, 908?

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 960, 208, 874, 908.

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}.