Given numbers are 762,121,122,189,296

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

The LCM of 762,121,122,189,296 is 52441178328.

Find LCM of 762,121,122,189,296 with Prime Factorization

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

2 x 3 x 127 x 121 x 61 x 63 x 148 = 52441178328

Therefore, the lowest common multiple of 762,121,122,189,296 is 52441178328.

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 121 x 122 x 189 x 296 = 629294139936

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

121 : 1, 11, 121

122 : 1, 2, 61, 122

189 : 1, 3, 7, 9, 21, 27, 63, 189

296 : 1, 2, 4, 8, 37, 74, 148, 296

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,121,122,189,296, is 1.

Now, the common factors can be found like this.

762:2x 3x 127

121:11x 11

122:2x 61

189:3x 3x 3x 7

296:2x 2x 2x 37

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 3 = 12

Therefore, the value for common factors is 12.

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 = 629294139936/(1x12)

LCM = 629294139936/12

LCM = 52441178328

Thus, we can understand that the LCM of 762,121,122,189,296 is 52441178328.

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

• LCM of 593, 572, 600, 404, 704
• LCM of 383, 617, 824, 768, 147
• LCM of 483, 324, 346, 670, 473
• LCM of 149, 984, 712, 208, 828
• LCM of 286, 663, 979, 260, 171

1. What is the LCM of 762, 121, 122, 189, 296?

Answer: LCM of 762, 121, 122, 189, 296 is 52441178328.

2. How to calculate the LCM of 762, 121, 122, 189, 296?

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, 121, 122, 189, 296.

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}.