Given numbers are 296,202,460,770

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

The LCM of 296,202,460,770 is 264729080.

Find LCM of 296,202,460,770 with Prime Factorization

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

2 x 2 x 5 x 74 x 101 x 23 x 77 = 264729080

Therefore, the lowest common multiple of 296,202,460,770 is 264729080.

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.

296 x 202 x 460 x 770 = 21178326400

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.

296 : 1, 2, 4, 8, 37, 74, 148, 296

202 : 1, 2, 101, 202

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 296,202,460,770, is 2.

Now, the common factors can be found like this.

296:2x 2x 2x 37

202:2x 101

460:2x 2x 5x 23

770:2x 5x 7x 11

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 2x 5 = 40

Therefore, the value for common factors is 40.

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 = 21178326400/(2x40)

LCM = 21178326400/80

LCM = 264729080

Thus, we can understand that the LCM of 296,202,460,770 is 264729080.

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

• LCM of 817, 667, 279, 870
• LCM of 690, 945, 833, 792
• LCM of 209, 776, 812, 650
• LCM of 191, 688, 308, 143
• LCM of 788, 758, 425, 198

1. What is the LCM of 296, 202, 460, 770?

Answer: LCM of 296, 202, 460, 770 is 264729080.

2. How to calculate the LCM of 296, 202, 460, 770?

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 296, 202, 460, 770.

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}.