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LCM of 856, 645, 986, 950

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


Find the LCM of 856, 645, 986, 950 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 856, 645, 986, 950. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 856,645,986,950

Given numbers are 856,645,986,950

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

The LCM of 856,645,986,950 is 25858540200.

Find LCM of 856,645,986,950 with Prime Factorization


2 856, 645, 986, 950
5 428, 645, 493, 475
428, 129, 493, 95

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

2 x 5 x 428 x 129 x 493 x 95 = 25858540200

Therefore, the lowest common multiple of 856,645,986,950 is 25858540200.

LCM Formula to Find Lowest Common Multiple of 856,645,986,950

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.

856 x 645 x 986 x 950 = 517170804000

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.

856 : 1, 2, 4, 8, 107, 214, 428, 856

645 : 1, 3, 5, 15, 43, 129, 215, 645

986 : 1, 2, 17, 29, 34, 58, 493, 986

950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 856,645,986,950, is 1.

Now, the common factors can be found like this.

856:2x 2x 2x 107

645:3x 5x 43

986:2x 17x 29

950:2x 5x 5x 19

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 5 = 20

Therefore, the value for common factors is 20.

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 = 517170804000/(1x20)

LCM = 517170804000/20

LCM = 25858540200

Thus, we can understand that the LCM of 856,645,986,950 is 25858540200.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 856, 645, 986, 950

1. What is the LCM of 856, 645, 986, 950?

Answer: LCM of 856, 645, 986, 950 is 25858540200.

2. How to calculate the LCM of 856, 645, 986, 950?

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 856, 645, 986, 950.

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}.