Given numbers are 309,302,980

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

The LCM of 309,302,980 is 45725820.

Find LCM of 309,302,980 with Prime Factorization

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

2 x 309 x 151 x 490 = 45725820

Therefore, the lowest common multiple of 309,302,980 is 45725820.

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 302 x 980 = 91451640

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

302 : 1, 2, 151, 302

980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,302,980, is 1.

Now, the common factors can be found like this.

309:3x 103

302:2x 151

980:2x 2x 5x 7x 7

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 = 91451640/(1x2)

LCM = 91451640/2

LCM = 45725820

Thus, we can understand that the LCM of 309,302,980 is 45725820.

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

• LCM of 842, 579, 179
• LCM of 360, 247, 595
• LCM of 860, 351, 815
• LCM of 837, 852, 907
• LCM of 993, 239, 498

1. What is the LCM of 309, 302, 980?

Answer: LCM of 309, 302, 980 is 45725820.

2. How to calculate the LCM of 309, 302, 980?

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, 302, 980.

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}.