Given numbers are 253,784,119,224

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

The LCM of 253,784,119,224 is 6743968.

Find LCM of 253,784,119,224 with Prime Factorization

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

2 x 2 x 2 x 2 x 7 x 253 x 7 x 17 x 2 = 6743968

Therefore, the lowest common multiple of 253,784,119,224 is 6743968.

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.

253 x 784 x 119 x 224 = 5287270912

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.

253 : 1, 11, 23, 253

784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

119 : 1, 7, 17, 119

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,784,119,224, is 1.

Now, the common factors can be found like this.

253:11x 23

784:2x 2x 2x 2x 7x 7

119:7x 17

224:2x 2x 2x 2x 2x 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 2x 2x 7x 7 = 784

Therefore, the value for common factors is 784.

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 = 5287270912/(1x784)

LCM = 5287270912/784

LCM = 6743968

Thus, we can understand that the LCM of 253,784,119,224 is 6743968.

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

• LCM of 947, 339, 963, 303
• LCM of 256, 280, 521, 700
• LCM of 951, 857, 401, 454
• LCM of 439, 468, 939, 252
• LCM of 468, 891, 814, 111

1. What is the LCM of 253, 784, 119, 224?

Answer: LCM of 253, 784, 119, 224 is 6743968.

2. How to calculate the LCM of 253, 784, 119, 224?

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 253, 784, 119, 224.

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}.