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LCM of 274, 560, 637, 546, 993

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


Find the LCM of 274, 560, 637, 546, 993 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 274, 560, 637, 546, 993. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 274,560,637,546,993

Given numbers are 274,560,637,546,993

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

The LCM of 274,560,637,546,993 is 6932649360.

Find LCM of 274,560,637,546,993 with Prime Factorization


2 274, 560, 637, 546, 993
3 137, 280, 637, 273, 993
7 137, 280, 637, 91, 331
13 137, 40, 13, 91, 331
137, 40, 1, 7, 331

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

2 x 3 x 7 x 13 x 137 x 40 x 1 x 7 x 331 = 6932649360

Therefore, the lowest common multiple of 274,560,637,546,993 is 6932649360.

LCM Formula to Find Lowest Common Multiple of 274,560,637,546,993

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.

274 x 560 x 637 x 546 x 993 = 52993171707840

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.

274 : 1, 2, 137, 274

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

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

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

993 : 1, 3, 331, 993

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 274,560,637,546,993, is 1.

Now, the common factors can be found like this.

274:2x 137

560:2x 2x 2x 2x 5x 7

637:7x 7x 13

546:2x 3x 7x 13

993:3x 331

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 7x 7x 13 = 7644

Therefore, the value for common factors is 7644.

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 = 52993171707840/(1x7644)

LCM = 52993171707840/7644

LCM = 6932649360

Thus, we can understand that the LCM of 274,560,637,546,993 is 6932649360.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 274, 560, 637, 546, 993

1. What is the LCM of 274, 560, 637, 546, 993?

Answer: LCM of 274, 560, 637, 546, 993 is 6932649360.

2. How to calculate the LCM of 274, 560, 637, 546, 993?

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 274, 560, 637, 546, 993.

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}.