Given numbers are 760,684,355,361,989

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

The LCM of 760,684,355,361,989 is 9125661240.

Find LCM of 760,684,355,361,989 with Prime Factorization

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

2 x 2 x 5 x 19 x 2 x 9 x 71 x 19 x 989 = 9125661240

Therefore, the lowest common multiple of 760,684,355,361,989 is 9125661240.

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.

760 x 684 x 355 x 361 x 989 = 65887274152800

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.

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

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

355 : 1, 5, 71, 355

361 : 1, 19, 361

989 : 1, 23, 43, 989

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 760,684,355,361,989, is 1.

Now, the common factors can be found like this.

760:2x 2x 2x 5x 19

684:2x 2x 3x 3x 19

355:5x 71

361:19x 19

989:23x 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 5x 19x 19 = 7220

Therefore, the value for common factors is 7220.

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 = 65887274152800/(1x7220)

LCM = 65887274152800/7220

LCM = 9125661240

Thus, we can understand that the LCM of 760,684,355,361,989 is 9125661240.

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

• LCM of 495, 314, 781, 990, 256
• LCM of 782, 561, 517, 261, 958
• LCM of 723, 673, 307, 229, 976
• LCM of 675, 593, 558, 975, 187
• LCM of 497, 976, 947, 842, 517

1. What is the LCM of 760, 684, 355, 361, 989?

Answer: LCM of 760, 684, 355, 361, 989 is 9125661240.

2. How to calculate the LCM of 760, 684, 355, 361, 989?

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 760, 684, 355, 361, 989.

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}.