Given numbers are 140,677,976,830,470

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

The LCM of 140,677,976,830,470 is 90215774320.

Find LCM of 140,677,976,830,470 with Prime Factorization

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

2 x 2 x 5 x 7 x 677 x 244 x 83 x 47 = 90215774320

Therefore, the lowest common multiple of 140,677,976,830,470 is 90215774320.

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.

140 x 677 x 976 x 830 x 470 = 36086309728000

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.

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

677 : 1, 677

976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

830 : 1, 2, 5, 10, 83, 166, 415, 830

470 : 1, 2, 5, 10, 47, 94, 235, 470

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 140,677,976,830,470, is 1.

Now, the common factors can be found like this.

140:2x 2x 5x 7

677:677

976:2x 2x 2x 2x 61

830:2x 5x 83

470:2x 5x 47

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 5x 5 = 400

Therefore, the value for common factors is 400.

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 = 36086309728000/(1x400)

LCM = 36086309728000/400

LCM = 90215774320

Thus, we can understand that the LCM of 140,677,976,830,470 is 90215774320.

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

• LCM of 111, 404, 156, 956, 262
• LCM of 140, 515, 900, 422, 767
• LCM of 507, 311, 340, 898, 138
• LCM of 638, 773, 906, 323, 112
• LCM of 528, 546, 484, 822, 588

1. What is the LCM of 140, 677, 976, 830, 470?

Answer: LCM of 140, 677, 976, 830, 470 is 90215774320.

2. How to calculate the LCM of 140, 677, 976, 830, 470?

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 140, 677, 976, 830, 470.

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}.