Given numbers are 910,728,290,351,968

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

The LCM of 910,728,290,351,968 is 344864520.

Find LCM of 910,728,290,351,968 with Prime Factorization

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

2 x 2 x 2 x 5 x 7 x 13 x 1 x 1 x 29 x 27 x 121 = 344864520

Therefore, the lowest common multiple of 910,728,290,351,968 is 344864520.

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.

910 x 728 x 290 x 351 x 968 = 65275956345600

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.

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

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

290 : 1, 2, 5, 10, 29, 58, 145, 290

351 : 1, 3, 9, 13, 27, 39, 117, 351

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 910,728,290,351,968, is 1.

Now, the common factors can be found like this.

910:2x 5x 7x 13

728:2x 2x 2x 7x 13

290:2x 5x 29

351:3x 3x 3x 13

968:2x 2x 2x 11x 11

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 5x 7x 13x 13 = 189280

Therefore, the value for common factors is 189280.

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 = 65275956345600/(1x189280)

LCM = 65275956345600/189280

LCM = 344864520

Thus, we can understand that the LCM of 910,728,290,351,968 is 344864520.

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

• LCM of 969, 386, 532, 528, 725
• LCM of 713, 908, 205, 684, 333
• LCM of 256, 611, 768, 972, 476
• LCM of 484, 504, 511, 361, 194
• LCM of 263, 965, 977, 215, 279

1. What is the LCM of 910, 728, 290, 351, 968?

Answer: LCM of 910, 728, 290, 351, 968 is 344864520.

2. How to calculate the LCM of 910, 728, 290, 351, 968?

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 910, 728, 290, 351, 968.

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}.