Given numbers are 549,174,142,687,370

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

The LCM of 549,174,142,687,370 is 95778029430.

Find LCM of 549,174,142,687,370 with Prime Factorization

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

2 x 3 x 183 x 29 x 71 x 229 x 185 = 95778029430

Therefore, the lowest common multiple of 549,174,142,687,370 is 95778029430.

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.

549 x 174 x 142 x 687 x 370 = 3448009059480

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.

549 : 1, 3, 9, 61, 183, 549

174 : 1, 2, 3, 6, 29, 58, 87, 174

142 : 1, 2, 71, 142

687 : 1, 3, 229, 687

370 : 1, 2, 5, 10, 37, 74, 185, 370

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 549,174,142,687,370, is 1.

Now, the common factors can be found like this.

549:3x 3x 61

174:2x 3x 29

142:2x 71

687:3x 229

370:2x 5x 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 3 = 36

Therefore, the value for common factors is 36.

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 = 3448009059480/(1x36)

LCM = 3448009059480/36

LCM = 95778029430

Thus, we can understand that the LCM of 549,174,142,687,370 is 95778029430.

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

• LCM of 675, 714, 218, 754, 648
• LCM of 674, 291, 164, 287, 770
• LCM of 899, 186, 415, 149, 819
• LCM of 533, 249, 605, 926, 663
• LCM of 845, 170, 308, 768, 909

1. What is the LCM of 549, 174, 142, 687, 370?

Answer: LCM of 549, 174, 142, 687, 370 is 95778029430.

2. How to calculate the LCM of 549, 174, 142, 687, 370?

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 549, 174, 142, 687, 370.

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}.