Given numbers are 456,684,551,421,340

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

The LCM of 456,684,551,421,340 is 1419662520.

Find LCM of 456,684,551,421,340 with Prime Factorization

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

2 x 2 x 3 x 19 x 2 x 3 x 29 x 421 x 85 = 1419662520

Therefore, the lowest common multiple of 456,684,551,421,340 is 1419662520.

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.

456 x 684 x 551 x 421 x 340 = 24599912146560

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.

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

551 : 1, 19, 29, 551

421 : 1, 421

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 456,684,551,421,340, is 1.

Now, the common factors can be found like this.

456:2x 2x 2x 3x 19

684:2x 2x 3x 3x 19

551:19x 29

421:421

340:2x 2x 5x 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 3x 19x 19 = 17328

Therefore, the value for common factors is 17328.

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 = 24599912146560/(1x17328)

LCM = 24599912146560/17328

LCM = 1419662520

Thus, we can understand that the LCM of 456,684,551,421,340 is 1419662520.

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

• LCM of 126, 173, 500, 373, 140
• LCM of 603, 491, 228, 927, 587
• LCM of 107, 908, 841, 340, 296
• LCM of 134, 531, 521, 352, 593
• LCM of 474, 552, 637, 320, 389

1. What is the LCM of 456, 684, 551, 421, 340?

Answer: LCM of 456, 684, 551, 421, 340 is 1419662520.

2. How to calculate the LCM of 456, 684, 551, 421, 340?

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 456, 684, 551, 421, 340.

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}.