Given numbers are 980,420,728,293,715

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

The LCM of 980,420,728,293,715 is 246366120.

Find LCM of 980,420,728,293,715 with Prime Factorization

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

2 x 2 x 5 x 7 x 13 x 7 x 3 x 2 x 293 x 11 = 246366120

Therefore, the lowest common multiple of 980,420,728,293,715 is 246366120.

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.

980 x 420 x 728 x 293 x 715 = 62774087376000

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.

980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

293 : 1, 293

715 : 1, 5, 11, 13, 55, 65, 143, 715

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 980,420,728,293,715, is 1.

Now, the common factors can be found like this.

980:2x 2x 5x 7x 7

420:2x 2x 3x 5x 7

728:2x 2x 2x 7x 13

293:293

715:5x 11x 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 2x 5x 5x 7x 7x 13 = 254800

Therefore, the value for common factors is 254800.

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 = 62774087376000/(1x254800)

LCM = 62774087376000/254800

LCM = 246366120

Thus, we can understand that the LCM of 980,420,728,293,715 is 246366120.

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

• LCM of 192, 601, 398, 473, 509
• LCM of 362, 106, 679, 512, 424
• LCM of 556, 811, 161, 544, 395
• LCM of 978, 870, 861, 859, 293
• LCM of 318, 845, 969, 262, 526

1. What is the LCM of 980, 420, 728, 293, 715?

Answer: LCM of 980, 420, 728, 293, 715 is 246366120.

2. How to calculate the LCM of 980, 420, 728, 293, 715?

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 980, 420, 728, 293, 715.

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}.