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LCM of 505, 931, 286, 909

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


Find the LCM of 505, 931, 286, 909 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 505, 931, 286, 909. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 505,931,286,909

Given numbers are 505,931,286,909

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

The LCM of 505,931,286,909 is 1210178970.

Find LCM of 505,931,286,909 with Prime Factorization


101 505, 931, 286, 909
5, 931, 286, 9

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

101 x 5 x 931 x 286 x 9 = 1210178970

Therefore, the lowest common multiple of 505,931,286,909 is 1210178970.

LCM Formula to Find Lowest Common Multiple of 505,931,286,909

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.

505 x 931 x 286 x 909 = 122228075970

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.

505 : 1, 5, 101, 505

931 : 1, 7, 19, 49, 133, 931

286 : 1, 2, 11, 13, 22, 26, 143, 286

909 : 1, 3, 9, 101, 303, 909

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 505,931,286,909, is 1.

Now, the common factors can be found like this.

505:5x 101

931:7x 7x 19

286:2x 11x 13

909:3x 3x 101

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

101 = 101

Therefore, the value for common factors is 101.

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 = 122228075970/(1x101)

LCM = 122228075970/101

LCM = 1210178970

Thus, we can understand that the LCM of 505,931,286,909 is 1210178970.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 505, 931, 286, 909

1. What is the LCM of 505, 931, 286, 909?

Answer: LCM of 505, 931, 286, 909 is 1210178970.

2. How to calculate the LCM of 505, 931, 286, 909?

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 505, 931, 286, 909.

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}.