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LCM of 851, 671, 496, 942, 484

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


Find the LCM of 851, 671, 496, 942, 484 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 851, 671, 496, 942, 484. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 851,671,496,942,484

Given numbers are 851,671,496,942,484

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

The LCM of 851,671,496,942,484 is 1467396061296.

Find LCM of 851,671,496,942,484 with Prime Factorization


2 851, 671, 496, 942, 484
2 851, 671, 248, 471, 242
11 851, 671, 124, 471, 121
851, 61, 124, 471, 11

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

2 x 2 x 11 x 851 x 61 x 124 x 471 x 11 = 1467396061296

Therefore, the lowest common multiple of 851,671,496,942,484 is 1467396061296.

LCM Formula to Find Lowest Common Multiple of 851,671,496,942,484

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.

851 x 671 x 496 x 942 x 484 = 129130853394048

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.

851 : 1, 23, 37, 851

671 : 1, 11, 61, 671

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

942 : 1, 2, 3, 6, 157, 314, 471, 942

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 851,671,496,942,484, is 1.

Now, the common factors can be found like this.

851:23x 37

671:11x 61

496:2x 2x 2x 2x 31

942:2x 3x 157

484:2x 2x 11x 11

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 2x 11 = 88

Therefore, the value for common factors is 88.

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 = 129130853394048/(1x88)

LCM = 129130853394048/88

LCM = 1467396061296

Thus, we can understand that the LCM of 851,671,496,942,484 is 1467396061296.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 851, 671, 496, 942, 484

1. What is the LCM of 851, 671, 496, 942, 484?

Answer: LCM of 851, 671, 496, 942, 484 is 1467396061296.

2. How to calculate the LCM of 851, 671, 496, 942, 484?

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 851, 671, 496, 942, 484.

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}.