Given numbers are 468,314,781,739,344

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

The LCM of 468,314,781,739,344 is 3647030782824.

Find LCM of 468,314,781,739,344 with Prime Factorization

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

2 x 2 x 117 x 157 x 781 x 739 x 86 = 3647030782824

Therefore, the lowest common multiple of 468,314,781,739,344 is 3647030782824.

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.

468 x 314 x 781 x 739 x 344 = 29176246262592

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.

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

314 : 1, 2, 157, 314

781 : 1, 11, 71, 781

739 : 1, 739

344 : 1, 2, 4, 8, 43, 86, 172, 344

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,314,781,739,344, is 1.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

314:2x 157

781:11x 71

739:739

344:2x 2x 2x 43

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 2 = 8

Therefore, the value for common factors is 8.

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 = 29176246262592/(1x8)

LCM = 29176246262592/8

LCM = 3647030782824

Thus, we can understand that the LCM of 468,314,781,739,344 is 3647030782824.

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

• LCM of 140, 594, 564, 851, 763
• LCM of 395, 715, 357, 220, 468
• LCM of 897, 716, 212, 410, 747
• LCM of 719, 857, 785, 395, 981
• LCM of 681, 782, 616, 851, 402

1. What is the LCM of 468, 314, 781, 739, 344?

Answer: LCM of 468, 314, 781, 739, 344 is 3647030782824.

2. How to calculate the LCM of 468, 314, 781, 739, 344?

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 468, 314, 781, 739, 344.

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}.