Given numbers are 354,468,397,753

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

The LCM of 354,468,397,753 is 2751452964.

Find LCM of 354,468,397,753 with Prime Factorization

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

2 x 3 x 59 x 78 x 397 x 251 = 2751452964

Therefore, the lowest common multiple of 354,468,397,753 is 2751452964.

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.

354 x 468 x 397 x 753 = 49526153352

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.

354 : 1, 2, 3, 6, 59, 118, 177, 354

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

397 : 1, 397

753 : 1, 3, 251, 753

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 354,468,397,753, is 1.

Now, the common factors can be found like this.

354:2x 3x 59

468:2x 2x 3x 3x 13

397:397

753:3x 251

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 49526153352/(1x18)

LCM = 49526153352/18

LCM = 2751452964

Thus, we can understand that the LCM of 354,468,397,753 is 2751452964.

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

• LCM of 158, 213, 331, 283
• LCM of 981, 568, 888, 774
• LCM of 204, 488, 866, 455
• LCM of 240, 672, 629, 461
• LCM of 719, 254, 689, 563

1. What is the LCM of 354, 468, 397, 753?

Answer: LCM of 354, 468, 397, 753 is 2751452964.

2. How to calculate the LCM of 354, 468, 397, 753?

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 354, 468, 397, 753.

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}.