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 957, 275, 298, 894, 994

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


Find the LCM of 957, 275, 298, 894, 994 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 957, 275, 298, 894, 994. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 957,275,298,894,994

Given numbers are 957,275,298,894,994

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

The LCM of 957,275,298,894,994 is 3543436050.

Find LCM of 957,275,298,894,994 with Prime Factorization


2 957, 275, 298, 894, 994
3 957, 275, 149, 447, 497
11 319, 275, 149, 149, 497
149 29, 25, 149, 149, 497
29, 25, 1, 1, 497

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

2 x 3 x 11 x 149 x 29 x 25 x 1 x 1 x 497 = 3543436050

Therefore, the lowest common multiple of 957,275,298,894,994 is 3543436050.

LCM Formula to Find Lowest Common Multiple of 957,275,298,894,994

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.

957 x 275 x 298 x 894 x 994 = 69692300231400

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.

957 : 1, 3, 11, 29, 33, 87, 319, 957

275 : 1, 5, 11, 25, 55, 275

298 : 1, 2, 149, 298

894 : 1, 2, 3, 6, 149, 298, 447, 894

994 : 1, 2, 7, 14, 71, 142, 497, 994

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 957,275,298,894,994, is 1.

Now, the common factors can be found like this.

957:3x 11x 29

275:5x 5x 11

298:2x 149

894:2x 3x 149

994:2x 7x 71

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 3x 11x 149 = 19668

Therefore, the value for common factors is 19668.

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 = 69692300231400/(1x19668)

LCM = 69692300231400/19668

LCM = 3543436050

Thus, we can understand that the LCM of 957,275,298,894,994 is 3543436050.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 957, 275, 298, 894, 994

1. What is the LCM of 957, 275, 298, 894, 994?

Answer: LCM of 957, 275, 298, 894, 994 is 3543436050.

2. How to calculate the LCM of 957, 275, 298, 894, 994?

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 957, 275, 298, 894, 994.

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}.