Given numbers are 974,706,309

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

The LCM of 974,706,309 is 106240998.

Find LCM of 974,706,309 with Prime Factorization

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

2 x 487 x 353 x 309 = 106240998

Therefore, the lowest common multiple of 974,706,309 is 106240998.

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.

974 x 706 x 309 = 212481996

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.

974 : 1, 2, 487, 974

706 : 1, 2, 353, 706

309 : 1, 3, 103, 309

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 974,706,309, is 1.

Now, the common factors can be found like this.

974:2x 487

706:2x 353

309:3x 103

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 212481996/(1x2)

LCM = 212481996/2

LCM = 106240998

Thus, we can understand that the LCM of 974,706,309 is 106240998.

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

• LCM of 850, 620, 250
• LCM of 916, 891, 329
• LCM of 669, 262, 924
• LCM of 668, 692, 742
• LCM of 338, 376, 991

1. What is the LCM of 974, 706, 309?

Answer: LCM of 974, 706, 309 is 106240998.

2. How to calculate the LCM of 974, 706, 309?

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 974, 706, 309.

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}.