Given numbers are 309,724,508,346

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

The LCM of 309,724,508,346 is 4915264236.

Find LCM of 309,724,508,346 with Prime Factorization

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

2 x 2 x 309 x 181 x 127 x 173 = 4915264236

Therefore, the lowest common multiple of 309,724,508,346 is 4915264236.

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.

309 x 724 x 508 x 346 = 39322113888

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.

309 : 1, 3, 103, 309

724 : 1, 2, 4, 181, 362, 724

508 : 1, 2, 4, 127, 254, 508

346 : 1, 2, 173, 346

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,724,508,346, is 1.

Now, the common factors can be found like this.

309:3x 103

724:2x 2x 181

508:2x 2x 127

346:2x 173

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 2 = 8

Therefore, the value for common factors is 8.

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 = 39322113888/(1x8)

LCM = 39322113888/8

LCM = 4915264236

Thus, we can understand that the LCM of 309,724,508,346 is 4915264236.

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

• LCM of 616, 843, 559, 900
• LCM of 687, 938, 593, 808
• LCM of 902, 355, 580, 888
• LCM of 498, 575, 116, 496
• LCM of 112, 920, 369, 219

1. What is the LCM of 309, 724, 508, 346?

Answer: LCM of 309, 724, 508, 346 is 4915264236.

2. How to calculate the LCM of 309, 724, 508, 346?

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 309, 724, 508, 346.

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}.