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LCM of 783, 849, 651, 336, 147

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


Find the LCM of 783, 849, 651, 336, 147 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 783, 849, 651, 336, 147. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 783,849,651,336,147

Given numbers are 783,849,651,336,147

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

The LCM of 783,849,651,336,147 is 5385499056.

Find LCM of 783,849,651,336,147 with Prime Factorization


3 783, 849, 651, 336, 147
7 261, 283, 217, 112, 49
261, 283, 31, 16, 7

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

3 x 7 x 261 x 283 x 31 x 16 x 7 = 5385499056

Therefore, the lowest common multiple of 783,849,651,336,147 is 5385499056.

LCM Formula to Find Lowest Common Multiple of 783,849,651,336,147

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.

783 x 849 x 651 x 336 x 147 = 21375045753264

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.

783 : 1, 3, 9, 27, 29, 87, 261, 783

849 : 1, 3, 283, 849

651 : 1, 3, 7, 21, 31, 93, 217, 651

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

147 : 1, 3, 7, 21, 49, 147

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 783,849,651,336,147, is 3.

Now, the common factors can be found like this.

783:3x 3x 3x 29

849:3x 283

651:3x 7x 31

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

147:3x 7x 7

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

3x 3x 3x 7x 7 = 1323

Therefore, the value for common factors is 1323.

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 = 21375045753264/(3x1323)

LCM = 21375045753264/3969

LCM = 5385499056

Thus, we can understand that the LCM of 783,849,651,336,147 is 5385499056.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 783, 849, 651, 336, 147

1. What is the LCM of 783, 849, 651, 336, 147?

Answer: LCM of 783, 849, 651, 336, 147 is 5385499056.

2. How to calculate the LCM of 783, 849, 651, 336, 147?

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 783, 849, 651, 336, 147.

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}.