Given numbers are 314,472,354,641

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

The LCM of 314,472,354,641 is 142501992.

Find LCM of 314,472,354,641 with Prime Factorization

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

2 x 59 x 157 x 4 x 3 x 641 = 142501992

Therefore, the lowest common multiple of 314,472,354,641 is 142501992.

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.

314 x 472 x 354 x 641 = 33630470112

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.

314 : 1, 2, 157, 314

472 : 1, 2, 4, 8, 59, 118, 236, 472

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

641 : 1, 641

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,472,354,641, is 1.

Now, the common factors can be found like this.

314:2x 157

472:2x 2x 2x 59

354:2x 3x 59

641:641

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 59 = 236

Therefore, the value for common factors is 236.

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 = 33630470112/(1x236)

LCM = 33630470112/236

LCM = 142501992

Thus, we can understand that the LCM of 314,472,354,641 is 142501992.

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

• LCM of 378, 444, 210, 528
• LCM of 299, 607, 859, 744
• LCM of 227, 648, 564, 772
• LCM of 142, 353, 493, 375
• LCM of 728, 622, 217, 518

1. What is the LCM of 314, 472, 354, 641?

Answer: LCM of 314, 472, 354, 641 is 142501992.

2. How to calculate the LCM of 314, 472, 354, 641?

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 314, 472, 354, 641.

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}.