Given numbers are 678,335,462,840,702

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

The LCM of 678,335,462,840,702 is 8184856680.

Find LCM of 678,335,462,840,702 with Prime Factorization

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

2 x 3 x 5 x 7 x 113 x 67 x 11 x 4 x 117 = 8184856680

Therefore, the lowest common multiple of 678,335,462,840,702 is 8184856680.

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.

678 x 335 x 462 x 840 x 702 = 61877516500800

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.

678 : 1, 2, 3, 6, 113, 226, 339, 678

335 : 1, 5, 67, 335

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

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

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,335,462,840,702, is 1.

Now, the common factors can be found like this.

678:2x 3x 113

335:5x 67

462:2x 3x 7x 11

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

702:2x 3x 3x 3x 13

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 3x 3x 3x 5x 7 = 7560

Therefore, the value for common factors is 7560.

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 = 61877516500800/(1x7560)

LCM = 61877516500800/7560

LCM = 8184856680

Thus, we can understand that the LCM of 678,335,462,840,702 is 8184856680.

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

• LCM of 485, 510, 774, 677, 542
• LCM of 655, 805, 721, 590, 544
• LCM of 729, 561, 120, 948, 949
• LCM of 833, 687, 474, 404, 201
• LCM of 950, 843, 444, 618, 980

1. What is the LCM of 678, 335, 462, 840, 702?

Answer: LCM of 678, 335, 462, 840, 702 is 8184856680.

2. How to calculate the LCM of 678, 335, 462, 840, 702?

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 678, 335, 462, 840, 702.

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}.