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LCM of 337, 336, 846, 786, 902

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


Find the LCM of 337, 336, 846, 786, 902 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 337, 336, 846, 786, 902. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 337,336,846,786,902

Given numbers are 337,336,846,786,902

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

The LCM of 337,336,846,786,902 is 943270230672.

Find LCM of 337,336,846,786,902 with Prime Factorization


2 337, 336, 846, 786, 902
3 337, 168, 423, 393, 451
337, 56, 141, 131, 451

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

2 x 3 x 337 x 56 x 141 x 131 x 451 = 943270230672

Therefore, the lowest common multiple of 337,336,846,786,902 is 943270230672.

LCM Formula to Find Lowest Common Multiple of 337,336,846,786,902

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.

337 x 336 x 846 x 786 x 902 = 67915456608384

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.

337 : 1, 337

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

786 : 1, 2, 3, 6, 131, 262, 393, 786

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 337,336,846,786,902, is 1.

Now, the common factors can be found like this.

337:337

336:2x 2x 2x 2x 3x 7

846:2x 3x 3x 47

786:2x 3x 131

902:2x 11x 41

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 67915456608384/(1x72)

LCM = 67915456608384/72

LCM = 943270230672

Thus, we can understand that the LCM of 337,336,846,786,902 is 943270230672.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 337, 336, 846, 786, 902

1. What is the LCM of 337, 336, 846, 786, 902?

Answer: LCM of 337, 336, 846, 786, 902 is 943270230672.

2. How to calculate the LCM of 337, 336, 846, 786, 902?

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 337, 336, 846, 786, 902.

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}.