Given numbers are 679,749,175,312

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

The LCM of 679,749,175,312 is 566693400.

Find LCM of 679,749,175,312 with Prime Factorization

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

7 x 97 x 107 x 25 x 312 = 566693400

Therefore, the lowest common multiple of 679,749,175,312 is 566693400.

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.

679 x 749 x 175 x 312 = 27767976600

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.

679 : 1, 7, 97, 679

749 : 1, 7, 107, 749

175 : 1, 5, 7, 25, 35, 175

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 679,749,175,312, is 1.

Now, the common factors can be found like this.

679:7x 97

749:7x 107

175:5x 5x 7

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.

7x 7 = 49

Therefore, the value for common factors is 49.

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 = 27767976600/(1x49)

LCM = 27767976600/49

LCM = 566693400

Thus, we can understand that the LCM of 679,749,175,312 is 566693400.

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

• LCM of 699, 223, 278, 219
• LCM of 655, 917, 267, 551
• LCM of 255, 556, 728, 499
• LCM of 346, 812, 571, 501
• LCM of 963, 512, 926, 389

1. What is the LCM of 679, 749, 175, 312?

Answer: LCM of 679, 749, 175, 312 is 566693400.

2. How to calculate the LCM of 679, 749, 175, 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 679, 749, 175, 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}.