Given numbers are 676,910,740,312

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

The LCM of 676,910,740,312 is 5252520.

Find LCM of 676,910,740,312 with Prime Factorization

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

2 x 2 x 5 x 13 x 13 x 7 x 37 x 6 = 5252520

Therefore, the lowest common multiple of 676,910,740,312 is 5252520.

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.

676 x 910 x 740 x 312 = 142028140800

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.

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,910,740,312, is 2.

Now, the common factors can be found like this.

676:2x 2x 13x 13

910:2x 5x 7x 13

740:2x 2x 5x 37

312:2x 2x 2x 3x 13

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 13x 13 = 13520

Therefore, the value for common factors is 13520.

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 = 142028140800/(2x13520)

LCM = 142028140800/27040

LCM = 5252520

Thus, we can understand that the LCM of 676,910,740,312 is 5252520.

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

• LCM of 980, 985, 804, 409
• LCM of 320, 439, 464, 380
• LCM of 715, 253, 330, 163
• LCM of 414, 760, 599, 159
• LCM of 780, 900, 123, 127

1. What is the LCM of 676, 910, 740, 312?

Answer: LCM of 676, 910, 740, 312 is 5252520.

2. How to calculate the LCM of 676, 910, 740, 312?

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 676, 910, 740, 312.

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}.