Given numbers are 840,744,551,261,474

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

The LCM of 840,744,551,261,474 is 3400485480.

Find LCM of 840,744,551,261,474 with Prime Factorization

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

2 x 2 x 2 x 3 x 29 x 35 x 31 x 19 x 3 x 79 = 3400485480

Therefore, the lowest common multiple of 840,744,551,261,474 is 3400485480.

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.

840 x 744 x 551 x 261 x 474 = 42601282093440

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.

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

551 : 1, 19, 29, 551

261 : 1, 3, 9, 29, 87, 261

474 : 1, 2, 3, 6, 79, 158, 237, 474

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 840,744,551,261,474, is 1.

Now, the common factors can be found like this.

840:2x 2x 2x 3x 5x 7

744:2x 2x 2x 3x 31

551:19x 29

261:3x 3x 29

474:2x 3x 79

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 3x 3x 29 = 12528

Therefore, the value for common factors is 12528.

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 = 42601282093440/(1x12528)

LCM = 42601282093440/12528

LCM = 3400485480

Thus, we can understand that the LCM of 840,744,551,261,474 is 3400485480.

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

• LCM of 594, 615, 811, 552, 139
• LCM of 458, 476, 236, 285, 138
• LCM of 442, 942, 354, 819, 442
• LCM of 426, 835, 332, 526, 628
• LCM of 152, 729, 858, 224, 608

1. What is the LCM of 840, 744, 551, 261, 474?

Answer: LCM of 840, 744, 551, 261, 474 is 3400485480.

2. How to calculate the LCM of 840, 744, 551, 261, 474?

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 840, 744, 551, 261, 474.

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}.