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 382, 870, 732, 976

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


Find the LCM of 382, 870, 732, 976 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 382, 870, 732, 976. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 382,870,732,976

Given numbers are 382,870,732,976

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

The LCM of 382,870,732,976 is 81090960.

Find LCM of 382,870,732,976 with Prime Factorization


2 382, 870, 732, 976
2 191, 435, 366, 488
3 191, 435, 183, 244
61 191, 145, 61, 244
191, 145, 1, 4

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

2 x 2 x 3 x 61 x 191 x 145 x 1 x 4 = 81090960

Therefore, the lowest common multiple of 382,870,732,976 is 81090960.

LCM Formula to Find Lowest Common Multiple of 382,870,732,976

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.

382 x 870 x 732 x 976 = 237434330880

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.

382 : 1, 2, 191, 382

870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,870,732,976, is 2.

Now, the common factors can be found like this.

382:2x 191

870:2x 3x 5x 29

732:2x 2x 3x 61

976:2x 2x 2x 2x 61

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 3x 61 = 1464

Therefore, the value for common factors is 1464.

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 = 237434330880/(2x1464)

LCM = 237434330880/2928

LCM = 81090960

Thus, we can understand that the LCM of 382,870,732,976 is 81090960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 382, 870, 732, 976

1. What is the LCM of 382, 870, 732, 976?

Answer: LCM of 382, 870, 732, 976 is 81090960.

2. How to calculate the LCM of 382, 870, 732, 976?

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 382, 870, 732, 976.

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}.