Given numbers are 304,214,202,980

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

The LCM of 304,214,202,980 is 804905360.

Find LCM of 304,214,202,980 with Prime Factorization

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

2 x 2 x 76 x 107 x 101 x 245 = 804905360

Therefore, the lowest common multiple of 304,214,202,980 is 804905360.

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.

304 x 214 x 202 x 980 = 12878485760

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.

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

214 : 1, 2, 107, 214

202 : 1, 2, 101, 202

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 304,214,202,980, is 2.

Now, the common factors can be found like this.

304:2x 2x 2x 2x 19

214:2x 107

202:2x 101

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.

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 = 12878485760/(2x8)

LCM = 12878485760/16

LCM = 804905360

Thus, we can understand that the LCM of 304,214,202,980 is 804905360.

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

• LCM of 504, 673, 412, 713
• LCM of 219, 826, 646, 596
• LCM of 719, 827, 578, 971
• LCM of 614, 407, 944, 989
• LCM of 417, 601, 292, 751

1. What is the LCM of 304, 214, 202, 980?

Answer: LCM of 304, 214, 202, 980 is 804905360.

2. How to calculate the LCM of 304, 214, 202, 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 304, 214, 202, 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}.