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LCM of 893, 792, 637, 880, 282

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


Find the LCM of 893, 792, 637, 880, 282 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 893, 792, 637, 880, 282. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 893,792,637,880,282

Given numbers are 893,792,637,880,282

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

The LCM of 893,792,637,880,282 is 4505220720.

Find LCM of 893,792,637,880,282 with Prime Factorization


2 893, 792, 637, 880, 282
2 893, 396, 637, 440, 141
2 893, 198, 637, 220, 141
3 893, 99, 637, 110, 141
11 893, 33, 637, 110, 47
47 893, 3, 637, 10, 47
19, 3, 637, 10, 1

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

2 x 2 x 2 x 3 x 11 x 47 x 19 x 3 x 637 x 10 x 1 = 4505220720

Therefore, the lowest common multiple of 893,792,637,880,282 is 4505220720.

LCM Formula to Find Lowest Common Multiple of 893,792,637,880,282

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.

893 x 792 x 637 x 880 x 282 = 111801557387520

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.

893 : 1, 19, 47, 893

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

637 : 1, 7, 13, 49, 91, 637

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

282 : 1, 2, 3, 6, 47, 94, 141, 282

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 893,792,637,880,282, is 1.

Now, the common factors can be found like this.

893:19x 47

792:2x 2x 2x 3x 3x 11

637:7x 7x 13

880:2x 2x 2x 2x 5x 11

282:2x 3x 47

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 2x 3x 11x 47 = 24816

Therefore, the value for common factors is 24816.

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 = 111801557387520/(1x24816)

LCM = 111801557387520/24816

LCM = 4505220720

Thus, we can understand that the LCM of 893,792,637,880,282 is 4505220720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 893, 792, 637, 880, 282

1. What is the LCM of 893, 792, 637, 880, 282?

Answer: LCM of 893, 792, 637, 880, 282 is 4505220720.

2. How to calculate the LCM of 893, 792, 637, 880, 282?

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 893, 792, 637, 880, 282.

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}.