Given numbers are 607,214,942,416,660

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

The LCM of 607,214,942,416,660 is 699921599520.

Find LCM of 607,214,942,416,660 with Prime Factorization

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

2 x 2 x 3 x 607 x 107 x 157 x 104 x 55 = 699921599520

Therefore, the lowest common multiple of 607,214,942,416,660 is 699921599520.

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.

607 x 214 x 942 x 416 x 660 = 33596236776960

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.

607 : 1, 607

214 : 1, 2, 107, 214

942 : 1, 2, 3, 6, 157, 314, 471, 942

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 607,214,942,416,660, is 1.

Now, the common factors can be found like this.

607:607

214:2x 107

942:2x 3x 157

416:2x 2x 2x 2x 2x 13

660:2x 2x 3x 5x 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 3 = 48

Therefore, the value for common factors is 48.

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 = 33596236776960/(1x48)

LCM = 33596236776960/48

LCM = 699921599520

Thus, we can understand that the LCM of 607,214,942,416,660 is 699921599520.

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

• LCM of 694, 621, 953, 269, 726
• LCM of 940, 310, 388, 988, 119
• LCM of 659, 670, 163, 547, 967
• LCM of 133, 342, 550, 537, 520
• LCM of 128, 641, 952, 550, 175

1. What is the LCM of 607, 214, 942, 416, 660?

Answer: LCM of 607, 214, 942, 416, 660 is 699921599520.

2. How to calculate the LCM of 607, 214, 942, 416, 660?

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 607, 214, 942, 416, 660.

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}.