Given numbers are 249,121,274,456

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

The LCM of 249,121,274,456 is 627406296.

Find LCM of 249,121,274,456 with Prime Factorization

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

2 x 3 x 83 x 121 x 137 x 76 = 627406296

Therefore, the lowest common multiple of 249,121,274,456 is 627406296.

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.

249 x 121 x 274 x 456 = 3764437776

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.

249 : 1, 3, 83, 249

121 : 1, 11, 121

274 : 1, 2, 137, 274

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 249,121,274,456, is 1.

Now, the common factors can be found like this.

249:3x 83

121:11x 11

274:2x 137

456:2x 2x 2x 3x 19

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 3764437776/(1x6)

LCM = 3764437776/6

LCM = 627406296

Thus, we can understand that the LCM of 249,121,274,456 is 627406296.

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

• LCM of 648, 897, 158, 545
• LCM of 217, 899, 551, 560
• LCM of 150, 271, 372, 629
• LCM of 160, 730, 677, 126
• LCM of 155, 534, 804, 289

1. What is the LCM of 249, 121, 274, 456?

Answer: LCM of 249, 121, 274, 456 is 627406296.

2. How to calculate the LCM of 249, 121, 274, 456?

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 249, 121, 274, 456.

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}.