Given numbers are 762,480,279,198

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

The LCM of 762,480,279,198 is 62362080.

Find LCM of 762,480,279,198 with Prime Factorization

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

2 x 3 x 3 x 127 x 80 x 31 x 11 = 62362080

Therefore, the lowest common multiple of 762,480,279,198 is 62362080.

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 480 x 279 x 198 = 20205313920

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

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

279 : 1, 3, 9, 31, 93, 279

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,480,279,198, is 3.

Now, the common factors can be found like this.

762:2x 3x 127

480:2x 2x 2x 2x 2x 3x 5

279:3x 3x 31

198:2x 3x 3x 11

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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 20205313920/(3x108)

LCM = 20205313920/324

LCM = 62362080

Thus, we can understand that the LCM of 762,480,279,198 is 62362080.

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

• LCM of 310, 728, 803, 501
• LCM of 488, 549, 538, 659
• LCM of 786, 399, 346, 240
• LCM of 791, 327, 978, 441
• LCM of 797, 228, 212, 255

1. What is the LCM of 762, 480, 279, 198?

Answer: LCM of 762, 480, 279, 198 is 62362080.

2. How to calculate the LCM of 762, 480, 279, 198?

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, 480, 279, 198.

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}.