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LCM of 902, 496, 862, 471

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


Find the LCM of 902, 496, 862, 471 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 902, 496, 862, 471. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 902,496,862,471

Given numbers are 902,496,862,471

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

The LCM of 902,496,862,471 is 45410511696.

Find LCM of 902,496,862,471 with Prime Factorization


2 902, 496, 862, 471
451, 248, 431, 471

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

2 x 451 x 248 x 431 x 471 = 45410511696

Therefore, the lowest common multiple of 902,496,862,471 is 45410511696.

LCM Formula to Find Lowest Common Multiple of 902,496,862,471

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.

902 x 496 x 862 x 471 = 181642046784

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.

902 : 1, 2, 11, 22, 41, 82, 451, 902

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

862 : 1, 2, 431, 862

471 : 1, 3, 157, 471

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,496,862,471, is 1.

Now, the common factors can be found like this.

902:2x 11x 41

496:2x 2x 2x 2x 31

862:2x 431

471:3x 157

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 181642046784/(1x4)

LCM = 181642046784/4

LCM = 45410511696

Thus, we can understand that the LCM of 902,496,862,471 is 45410511696.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 902, 496, 862, 471

1. What is the LCM of 902, 496, 862, 471?

Answer: LCM of 902, 496, 862, 471 is 45410511696.

2. How to calculate the LCM of 902, 496, 862, 471?

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 902, 496, 862, 471.

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}.