Given numbers are 708,177,514,477,140

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

The LCM of 708,177,514,477,140 is 1012585140.

Find LCM of 708,177,514,477,140 with Prime Factorization

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

2 x 2 x 3 x 59 x 1 x 1 x 257 x 159 x 35 = 1012585140

Therefore, the lowest common multiple of 708,177,514,477,140 is 1012585140.

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.

708 x 177 x 514 x 477 x 140 = 4301461674720

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.

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

177 : 1, 3, 59, 177

514 : 1, 2, 257, 514

477 : 1, 3, 9, 53, 159, 477

140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 708,177,514,477,140, is 1.

Now, the common factors can be found like this.

708:2x 2x 3x 59

177:3x 59

514:2x 257

477:3x 3x 53

140:2x 2x 5x 7

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 3x 3x 59 = 4248

Therefore, the value for common factors is 4248.

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 = 4301461674720/(1x4248)

LCM = 4301461674720/4248

LCM = 1012585140

Thus, we can understand that the LCM of 708,177,514,477,140 is 1012585140.

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

• LCM of 493, 547, 257, 256, 540
• LCM of 744, 109, 398, 535, 102
• LCM of 232, 223, 650, 981, 273
• LCM of 999, 310, 801, 123, 111
• LCM of 458, 686, 581, 828, 758

1. What is the LCM of 708, 177, 514, 477, 140?

Answer: LCM of 708, 177, 514, 477, 140 is 1012585140.

2. How to calculate the LCM of 708, 177, 514, 477, 140?

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 708, 177, 514, 477, 140.

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}.