Given numbers are 735,584,917

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

The LCM of 735,584,917 is 56230440.

Find LCM of 735,584,917 with Prime Factorization

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

7 x 105 x 584 x 131 = 56230440

Therefore, the lowest common multiple of 735,584,917 is 56230440.

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.

735 x 584 x 917 = 393613080

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.

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

584 : 1, 2, 4, 8, 73, 146, 292, 584

917 : 1, 7, 131, 917

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 735,584,917, is 1.

Now, the common factors can be found like this.

735:3x 5x 7x 7

584:2x 2x 2x 73

917:7x 131

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

7 = 7

Therefore, the value for common factors is 7.

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 = 393613080/(1x7)

LCM = 393613080/7

LCM = 56230440

Thus, we can understand that the LCM of 735,584,917 is 56230440.

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

• LCM of 116, 211, 641
• LCM of 991, 390, 263
• LCM of 793, 690, 229
• LCM of 567, 919, 367
• LCM of 573, 534, 376

1. What is the LCM of 735, 584, 917?

Answer: LCM of 735, 584, 917 is 56230440.

2. How to calculate the LCM of 735, 584, 917?

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 735, 584, 917.

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}.