Given numbers are 780,210,880,121,820

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

The LCM of 780,210,880,121,820 is 108348240.

Find LCM of 780,210,880,121,820 with Prime Factorization

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

2 x 2 x 3 x 5 x 11 x 13 x 7 x 4 x 11 x 41 = 108348240

Therefore, the lowest common multiple of 780,210,880,121,820 is 108348240.

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.

780 x 210 x 880 x 121 x 820 = 14301967680000

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.

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

121 : 1, 11, 121

820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,210,880,121,820, is 1.

Now, the common factors can be found like this.

780:2x 2x 3x 5x 13

210:2x 3x 5x 7

880:2x 2x 2x 2x 5x 11

121:11x 11

820:2x 2x 5x 41

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 2x 3x 5x 5x 5x 11 = 132000

Therefore, the value for common factors is 132000.

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 = 14301967680000/(1x132000)

LCM = 14301967680000/132000

LCM = 108348240

Thus, we can understand that the LCM of 780,210,880,121,820 is 108348240.

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

• LCM of 754, 694, 101, 710, 707
• LCM of 121, 958, 156, 593, 983
• LCM of 665, 467, 204, 138, 456
• LCM of 659, 850, 325, 804, 358
• LCM of 920, 803, 711, 133, 385

1. What is the LCM of 780, 210, 880, 121, 820?

Answer: LCM of 780, 210, 880, 121, 820 is 108348240.

2. How to calculate the LCM of 780, 210, 880, 121, 820?

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 780, 210, 880, 121, 820.

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}.