Given numbers are 762,656,269,214

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

The LCM of 762,656,269,214 is 7193907888.

Find LCM of 762,656,269,214 with Prime Factorization

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

2 x 381 x 328 x 269 x 107 = 7193907888

Therefore, the lowest common multiple of 762,656,269,214 is 7193907888.

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.

762 x 656 x 269 x 214 = 28775631552

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.

762 : 1, 2, 3, 6, 127, 254, 381, 762

656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656

269 : 1, 269

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,656,269,214, is 1.

Now, the common factors can be found like this.

762:2x 3x 127

656:2x 2x 2x 2x 41

269:269

214:2x 107

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 = 28775631552/(1x4)

LCM = 28775631552/4

LCM = 7193907888

Thus, we can understand that the LCM of 762,656,269,214 is 7193907888.

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

• LCM of 471, 963, 462, 172
• LCM of 955, 238, 262, 307
• LCM of 261, 808, 567, 823
• LCM of 774, 922, 397, 538
• LCM of 751, 121, 773, 317

1. What is the LCM of 762, 656, 269, 214?

Answer: LCM of 762, 656, 269, 214 is 7193907888.

2. How to calculate the LCM of 762, 656, 269, 214?

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 762, 656, 269, 214.

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}.