Given numbers are 410,140,514,117

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

The LCM of 410,140,514,117 is 172596060.

Find LCM of 410,140,514,117 with Prime Factorization

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

2 x 5 x 41 x 14 x 257 x 117 = 172596060

Therefore, the lowest common multiple of 410,140,514,117 is 172596060.

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 140 x 514 x 117 = 3451921200

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

140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

514 : 1, 2, 257, 514

117 : 1, 3, 9, 13, 39, 117

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 410,140,514,117, is 1.

Now, the common factors can be found like this.

410:2x 5x 41

140:2x 2x 5x 7

514:2x 257

117:3x 3x 13

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 5 = 20

Therefore, the value for common factors is 20.

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 = 3451921200/(1x20)

LCM = 3451921200/20

LCM = 172596060

Thus, we can understand that the LCM of 410,140,514,117 is 172596060.

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

• LCM of 731, 915, 237, 982
• LCM of 488, 461, 556, 478
• LCM of 747, 501, 602, 200
• LCM of 100, 324, 593, 228
• LCM of 333, 356, 237, 978

1. What is the LCM of 410, 140, 514, 117?

Answer: LCM of 410, 140, 514, 117 is 172596060.

2. How to calculate the LCM of 410, 140, 514, 117?

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, 140, 514, 117.

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}.