Given numbers are 274,228,626,767

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

The LCM of 274,228,626,767 is 7498857756.

Find LCM of 274,228,626,767 with Prime Factorization

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

2 x 137 x 114 x 313 x 767 = 7498857756

Therefore, the lowest common multiple of 274,228,626,767 is 7498857756.

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.

274 x 228 x 626 x 767 = 29995431024

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.

274 : 1, 2, 137, 274

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

626 : 1, 2, 313, 626

767 : 1, 13, 59, 767

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 274,228,626,767, is 1.

Now, the common factors can be found like this.

274:2x 137

228:2x 2x 3x 19

626:2x 313

767:13x 59

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 = 29995431024/(1x4)

LCM = 29995431024/4

LCM = 7498857756

Thus, we can understand that the LCM of 274,228,626,767 is 7498857756.

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

• LCM of 885, 242, 532, 133
• LCM of 429, 552, 729, 241
• LCM of 727, 144, 114, 177
• LCM of 692, 500, 867, 727
• LCM of 674, 608, 635, 163

1. What is the LCM of 274, 228, 626, 767?

Answer: LCM of 274, 228, 626, 767 is 7498857756.

2. How to calculate the LCM of 274, 228, 626, 767?

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 274, 228, 626, 767.

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}.