Given numbers are 410,614,116,493

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

The LCM of 410,614,116,493 is 124107820.

Find LCM of 410,614,116,493 with Prime Factorization

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

2 x 29 x 205 x 307 x 2 x 17 = 124107820

Therefore, the lowest common multiple of 410,614,116,493 is 124107820.

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.

410 x 614 x 116 x 493 = 14396507120

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.

410 : 1, 2, 5, 10, 41, 82, 205, 410

614 : 1, 2, 307, 614

116 : 1, 2, 4, 29, 58, 116

493 : 1, 17, 29, 493

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 410,614,116,493, is 1.

Now, the common factors can be found like this.

410:2x 5x 41

614:2x 307

116:2x 2x 29

493:17x 29

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 29 = 116

Therefore, the value for common factors is 116.

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 = 14396507120/(1x116)

LCM = 14396507120/116

LCM = 124107820

Thus, we can understand that the LCM of 410,614,116,493 is 124107820.

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

• LCM of 535, 941, 780, 795
• LCM of 213, 839, 681, 769
• LCM of 141, 953, 248, 611
• LCM of 749, 867, 814, 139
• LCM of 839, 443, 898, 865

1. What is the LCM of 410, 614, 116, 493?

Answer: LCM of 410, 614, 116, 493 is 124107820.

2. How to calculate the LCM of 410, 614, 116, 493?

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 410, 614, 116, 493.

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}.