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LCM of 460, 267, 789, 957

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


Find the LCM of 460, 267, 789, 957 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 460, 267, 789, 957. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 460,267,789,957

Given numbers are 460,267,789,957

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

The LCM of 460,267,789,957 is 10304229540.

Find LCM of 460,267,789,957 with Prime Factorization


3 460, 267, 789, 957
460, 89, 263, 319

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

3 x 460 x 89 x 263 x 319 = 10304229540

Therefore, the lowest common multiple of 460,267,789,957 is 10304229540.

LCM Formula to Find Lowest Common Multiple of 460,267,789,957

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.

460 x 267 x 789 x 957 = 92738065860

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.

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

267 : 1, 3, 89, 267

789 : 1, 3, 263, 789

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,267,789,957, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

267:3x 89

789:3x 263

957:3x 11x 29

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 92738065860/(1x9)

LCM = 92738065860/9

LCM = 10304229540

Thus, we can understand that the LCM of 460,267,789,957 is 10304229540.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 460, 267, 789, 957

1. What is the LCM of 460, 267, 789, 957?

Answer: LCM of 460, 267, 789, 957 is 10304229540.

2. How to calculate the LCM of 460, 267, 789, 957?

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 460, 267, 789, 957.

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}.