Given numbers are 735,286,764

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

The LCM of 735,286,764 is 80300220.

Find LCM of 735,286,764 with Prime Factorization

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

2 x 735 x 143 x 382 = 80300220

Therefore, the lowest common multiple of 735,286,764 is 80300220.

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 286 x 764 = 160600440

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

286 : 1, 2, 11, 13, 22, 26, 143, 286

764 : 1, 2, 4, 191, 382, 764

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 735,286,764, is 1.

Now, the common factors can be found like this.

735:3x 5x 7x 7

286:2x 11x 13

764:2x 2x 191

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

2 = 2

Therefore, the value for common factors is 2.

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 = 160600440/(1x2)

LCM = 160600440/2

LCM = 80300220

Thus, we can understand that the LCM of 735,286,764 is 80300220.

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

• LCM of 490, 836, 445
• LCM of 210, 790, 400
• LCM of 344, 519, 602
• LCM of 607, 740, 948
• LCM of 811, 235, 718

1. What is the LCM of 735, 286, 764?

Answer: LCM of 735, 286, 764 is 80300220.

2. How to calculate the LCM of 735, 286, 764?

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, 286, 764.

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}.