Given numbers are 461,190,232,274

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

The LCM of 461,190,232,274 is 1391980280.

Find LCM of 461,190,232,274 with Prime Factorization

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

2 x 461 x 95 x 116 x 137 = 1391980280

Therefore, the lowest common multiple of 461,190,232,274 is 1391980280.

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.

461 x 190 x 232 x 274 = 5567921120

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.

461 : 1, 461

190 : 1, 2, 5, 10, 19, 38, 95, 190

232 : 1, 2, 4, 8, 29, 58, 116, 232

274 : 1, 2, 137, 274

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,190,232,274, is 1.

Now, the common factors can be found like this.

461:461

190:2x 5x 19

232:2x 2x 2x 29

274:2x 137

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 5567921120/(1x4)

LCM = 5567921120/4

LCM = 1391980280

Thus, we can understand that the LCM of 461,190,232,274 is 1391980280.

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

• LCM of 379, 835, 290, 636
• LCM of 402, 679, 756, 742
• LCM of 213, 110, 523, 138
• LCM of 464, 490, 868, 706
• LCM of 688, 789, 138, 770

1. What is the LCM of 461, 190, 232, 274?

Answer: LCM of 461, 190, 232, 274 is 1391980280.

2. How to calculate the LCM of 461, 190, 232, 274?

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 461, 190, 232, 274.

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}.