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LCM of 420, 957, 649, 290

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


Find the LCM of 420, 957, 649, 290 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 420, 957, 649, 290. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 420,957,649,290

Given numbers are 420,957,649,290

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

The LCM of 420,957,649,290 is 7904820.

Find LCM of 420,957,649,290 with Prime Factorization


2 420, 957, 649, 290
3 210, 957, 649, 145
5 70, 319, 649, 145
11 14, 319, 649, 29
29 14, 29, 59, 29
14, 1, 59, 1

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

2 x 3 x 5 x 11 x 29 x 14 x 1 x 59 x 1 = 7904820

Therefore, the lowest common multiple of 420,957,649,290 is 7904820.

LCM Formula to Find Lowest Common Multiple of 420,957,649,290

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.

420 x 957 x 649 x 290 = 75649127400

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.

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

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

649 : 1, 11, 59, 649

290 : 1, 2, 5, 10, 29, 58, 145, 290

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,957,649,290, is 1.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

957:3x 11x 29

649:11x 59

290:2x 5x 29

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

2x 3x 5x 11x 29 = 9570

Therefore, the value for common factors is 9570.

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 = 75649127400/(1x9570)

LCM = 75649127400/9570

LCM = 7904820

Thus, we can understand that the LCM of 420,957,649,290 is 7904820.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 420, 957, 649, 290

1. What is the LCM of 420, 957, 649, 290?

Answer: LCM of 420, 957, 649, 290 is 7904820.

2. How to calculate the LCM of 420, 957, 649, 290?

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 420, 957, 649, 290.

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}.