Given numbers are 418,378,290,649,236

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

The LCM of 418,378,290,649,236 is 1351724220.

Find LCM of 418,378,290,649,236 with Prime Factorization

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

2 x 11 x 59 x 19 x 189 x 145 x 1 x 2 = 1351724220

Therefore, the lowest common multiple of 418,378,290,649,236 is 1351724220.

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.

418 x 378 x 290 x 649 x 236 = 7018152150240

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.

418 : 1, 2, 11, 19, 22, 38, 209, 418

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

290 : 1, 2, 5, 10, 29, 58, 145, 290

649 : 1, 11, 59, 649

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,378,290,649,236, is 1.

Now, the common factors can be found like this.

418:2x 11x 19

378:2x 3x 3x 3x 7

290:2x 5x 29

649:11x 59

236:2x 2x 59

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 11x 59 = 5192

Therefore, the value for common factors is 5192.

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 = 7018152150240/(1x5192)

LCM = 7018152150240/5192

LCM = 1351724220

Thus, we can understand that the LCM of 418,378,290,649,236 is 1351724220.

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

• LCM of 200, 345, 466, 666, 447
• LCM of 864, 352, 868, 792, 290
• LCM of 987, 564, 885, 186, 354
• LCM of 299, 511, 700, 356, 291
• LCM of 749, 356, 836, 702, 876

1. What is the LCM of 418, 378, 290, 649, 236?

Answer: LCM of 418, 378, 290, 649, 236 is 1351724220.

2. How to calculate the LCM of 418, 378, 290, 649, 236?

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 418, 378, 290, 649, 236.

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}.