Given numbers are 414,236,133,748,476

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

The LCM of 414,236,133,748,476 is 1214998092.

Find LCM of 414,236,133,748,476 with Prime Factorization

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

2 x 2 x 7 x 17 x 207 x 59 x 19 x 11 x 1 = 1214998092

Therefore, the lowest common multiple of 414,236,133,748,476 is 1214998092.

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.

414 x 236 x 133 x 748 x 476 = 4626712734336

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.

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

236 : 1, 2, 4, 59, 118, 236

133 : 1, 7, 19, 133

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,236,133,748,476, is 1.

Now, the common factors can be found like this.

414:2x 3x 3x 23

236:2x 2x 59

133:7x 19

748:2x 2x 11x 17

476:2x 2x 7x 17

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 2x 2x 2x 7x 17 = 3808

Therefore, the value for common factors is 3808.

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 = 4626712734336/(1x3808)

LCM = 4626712734336/3808

LCM = 1214998092

Thus, we can understand that the LCM of 414,236,133,748,476 is 1214998092.

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

• LCM of 394, 938, 899, 420, 308
• LCM of 365, 632, 713, 410, 369
• LCM of 229, 587, 370, 905, 262
• LCM of 147, 396, 294, 140, 609
• LCM of 694, 824, 463, 944, 883

1. What is the LCM of 414, 236, 133, 748, 476?

Answer: LCM of 414, 236, 133, 748, 476 is 1214998092.

2. How to calculate the LCM of 414, 236, 133, 748, 476?

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 414, 236, 133, 748, 476.

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}.