Given numbers are 762,349,922,490

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

The LCM of 762,349,922,490 is 30036367410.

Find LCM of 762,349,922,490 with Prime Factorization

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

2 x 381 x 349 x 461 x 245 = 30036367410

Therefore, the lowest common multiple of 762,349,922,490 is 30036367410.

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 349 x 922 x 490 = 120145469640

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

349 : 1, 349

922 : 1, 2, 461, 922

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,349,922,490, is 1.

Now, the common factors can be found like this.

762:2x 3x 127

349:349

922:2x 461

490:2x 5x 7x 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 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 = 120145469640/(1x4)

LCM = 120145469640/4

LCM = 30036367410

Thus, we can understand that the LCM of 762,349,922,490 is 30036367410.

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

• LCM of 865, 665, 618, 522
• LCM of 174, 231, 995, 995
• LCM of 134, 769, 581, 289
• LCM of 345, 618, 769, 667
• LCM of 863, 106, 335, 120

1. What is the LCM of 762, 349, 922, 490?

Answer: LCM of 762, 349, 922, 490 is 30036367410.

2. How to calculate the LCM of 762, 349, 922, 490?

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, 349, 922, 490.

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}.