Given numbers are 5380,1614

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

The LCM of 5380,1614 is 16140.

Find LCM of 5380,1614 with Prime Factorization

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

2 x 269 x 10 x 3 = 16140

Therefore, the lowest common multiple of 5380,1614 is 16140.

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.

5380 x 1614 = 8683320

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.

5380 : 1, 2, 4, 5, 10, 20, 269, 538, 1076, 1345, 2690, 5380

1614 : 1, 2, 3, 6, 269, 538, 807, 1614

538 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 5380,1614, is 538.

Now, the common factors can be found like this.

5380:2x 2x 5x 269

1614:2x 3x 269

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

= 1

Therefore, the value for common factors is 1.

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 = 8683320/(538x1)

LCM = 8683320/538

LCM = 16140

Thus, we can understand that the LCM of 5380,1614 is 16140.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 8182, 5985
• LCM of 3212, 4484
• LCM of 5007, 2319
• LCM of 6678, 9918
• LCM of 8036, 9434

1. What is the LCM of 5380, 1614?

Answer: LCM of 5380, 1614 is 16140.

2. How to calculate the LCM of 5380, 1614?

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 5380, 1614.

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}.