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LCM of 651, 273, 740, 620, 999

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


Find the LCM of 651, 273, 740, 620, 999 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 651, 273, 740, 620, 999. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 651,273,740,620,999

Given numbers are 651,273,740,620,999

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

The LCM of 651,273,740,620,999 is 56363580.

Find LCM of 651,273,740,620,999 with Prime Factorization


2 651, 273, 740, 620, 999
2 651, 273, 370, 310, 999
3 651, 273, 185, 155, 999
5 217, 91, 185, 155, 333
7 217, 91, 37, 31, 333
31 31, 13, 37, 31, 333
37 1, 13, 37, 1, 333
1, 13, 1, 1, 9

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

2 x 2 x 3 x 5 x 7 x 31 x 37 x 1 x 13 x 1 x 1 x 9 = 56363580

Therefore, the lowest common multiple of 651,273,740,620,999 is 56363580.

LCM Formula to Find Lowest Common Multiple of 651,273,740,620,999

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.

651 x 273 x 740 x 620 x 999 = 81457773087600

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.

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

273 : 1, 3, 7, 13, 21, 39, 91, 273

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

999 : 1, 3, 9, 27, 37, 111, 333, 999

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 651,273,740,620,999, is 1.

Now, the common factors can be found like this.

651:3x 7x 31

273:3x 7x 13

740:2x 2x 5x 37

620:2x 2x 5x 31

999:3x 3x 3x 37

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 3x 3x 5x 7x 31x 37 = 1445220

Therefore, the value for common factors is 1445220.

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 = 81457773087600/(1x1445220)

LCM = 81457773087600/1445220

LCM = 56363580

Thus, we can understand that the LCM of 651,273,740,620,999 is 56363580.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 651, 273, 740, 620, 999

1. What is the LCM of 651, 273, 740, 620, 999?

Answer: LCM of 651, 273, 740, 620, 999 is 56363580.

2. How to calculate the LCM of 651, 273, 740, 620, 999?

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 651, 273, 740, 620, 999.

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}.