Given numbers are 349,582,988,280

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

The LCM of 349,582,988,280 is 7023820440.

Find LCM of 349,582,988,280 with Prime Factorization

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

2 x 2 x 349 x 291 x 247 x 70 = 7023820440

Therefore, the lowest common multiple of 349,582,988,280 is 7023820440.

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.

349 x 582 x 988 x 280 = 56190563520

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.

349 : 1, 349

582 : 1, 2, 3, 6, 97, 194, 291, 582

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 349,582,988,280, is 1.

Now, the common factors can be found like this.

349:349

582:2x 3x 97

988:2x 2x 13x 19

280:2x 2x 2x 5x 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 = 56190563520/(1x8)

LCM = 56190563520/8

LCM = 7023820440

Thus, we can understand that the LCM of 349,582,988,280 is 7023820440.

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

• LCM of 928, 160, 865, 409
• LCM of 236, 639, 895, 721
• LCM of 341, 204, 757, 115
• LCM of 771, 744, 308, 443
• LCM of 688, 456, 144, 592

1. What is the LCM of 349, 582, 988, 280?

Answer: LCM of 349, 582, 988, 280 is 7023820440.

2. How to calculate the LCM of 349, 582, 988, 280?

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 349, 582, 988, 280.

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}.