Given numbers are 820,297,988,292,146

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

The LCM of 820,297,988,292,146 is 4391269740.

Find LCM of 820,297,988,292,146 with Prime Factorization

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

2 x 2 x 73 x 205 x 297 x 247 x 1 x 1 = 4391269740

Therefore, the lowest common multiple of 820,297,988,292,146 is 4391269740.

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.

820 x 297 x 988 x 292 x 146 = 10258006112640

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.

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

297 : 1, 3, 9, 11, 27, 33, 99, 297

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

292 : 1, 2, 4, 73, 146, 292

146 : 1, 2, 73, 146

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 820,297,988,292,146, is 1.

Now, the common factors can be found like this.

820:2x 2x 5x 41

297:3x 3x 3x 11

988:2x 2x 13x 19

292:2x 2x 73

146:2x 73

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 73 = 2336

Therefore, the value for common factors is 2336.

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 = 10258006112640/(1x2336)

LCM = 10258006112640/2336

LCM = 4391269740

Thus, we can understand that the LCM of 820,297,988,292,146 is 4391269740.

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

• LCM of 586, 722, 543, 525, 561
• LCM of 147, 478, 471, 204, 351
• LCM of 938, 380, 868, 405, 962
• LCM of 383, 240, 498, 453, 788
• LCM of 367, 396, 875, 877, 890

1. What is the LCM of 820, 297, 988, 292, 146?

Answer: LCM of 820, 297, 988, 292, 146 is 4391269740.

2. How to calculate the LCM of 820, 297, 988, 292, 146?

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 820, 297, 988, 292, 146.

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}.