Given numbers are 735,101,828,618

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

The LCM of 735,101,828,618 is 2110352580.

Find LCM of 735,101,828,618 with Prime Factorization

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

2 x 3 x 245 x 101 x 138 x 103 = 2110352580

Therefore, the lowest common multiple of 735,101,828,618 is 2110352580.

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 101 x 828 x 618 = 37986346440

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

101 : 1, 101

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

618 : 1, 2, 3, 6, 103, 206, 309, 618

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 735,101,828,618, is 1.

Now, the common factors can be found like this.

735:3x 5x 7x 7

101:101

828:2x 2x 3x 3x 23

618:2x 3x 103

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 37986346440/(1x18)

LCM = 37986346440/18

LCM = 2110352580

Thus, we can understand that the LCM of 735,101,828,618 is 2110352580.

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

• LCM of 399, 126, 143, 875
• LCM of 490, 196, 893, 572
• LCM of 863, 677, 739, 315
• LCM of 139, 568, 107, 117
• LCM of 659, 292, 905, 935

1. What is the LCM of 735, 101, 828, 618?

Answer: LCM of 735, 101, 828, 618 is 2110352580.

2. How to calculate the LCM of 735, 101, 828, 618?

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, 101, 828, 618.

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}.