Given numbers are 904,202,714

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

The LCM of 904,202,714 is 32595528.

Find LCM of 904,202,714 with Prime Factorization

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

2 x 452 x 101 x 357 = 32595528

Therefore, the lowest common multiple of 904,202,714 is 32595528.

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.

904 x 202 x 714 = 130382112

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.

904 : 1, 2, 4, 8, 113, 226, 452, 904

202 : 1, 2, 101, 202

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 904,202,714, is 2.

Now, the common factors can be found like this.

904:2x 2x 2x 113

202:2x 101

714:2x 3x 7x 17

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 = 130382112/(2x2)

LCM = 130382112/4

LCM = 32595528

Thus, we can understand that the LCM of 904,202,714 is 32595528.

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

• LCM of 962, 464, 942
• LCM of 982, 293, 691
• LCM of 517, 607, 531
• LCM of 862, 368, 295
• LCM of 217, 549, 312

1. What is the LCM of 904, 202, 714?

Answer: LCM of 904, 202, 714 is 32595528.

2. How to calculate the LCM of 904, 202, 714?

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 904, 202, 714.

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}.