Given numbers are 491,763,789,900,737

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

The LCM of 491,763,789,900,737 is 65353940120700.

Find LCM of 491,763,789,900,737 with Prime Factorization

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

3 x 491 x 763 x 263 x 300 x 737 = 65353940120700

Therefore, the lowest common multiple of 491,763,789,900,737 is 65353940120700.

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.

491 x 763 x 789 x 900 x 737 = 196061820362100

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.

491 : 1, 491

763 : 1, 7, 109, 763

789 : 1, 3, 263, 789

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

737 : 1, 11, 67, 737

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 491,763,789,900,737, is 1.

Now, the common factors can be found like this.

491:491

763:7x 109

789:3x 263

900:2x 2x 3x 3x 5x 5

737:11x 67

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3 = 3

Therefore, the value for common factors is 3.

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 = 196061820362100/(1x3)

LCM = 196061820362100/3

LCM = 65353940120700

Thus, we can understand that the LCM of 491,763,789,900,737 is 65353940120700.

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

• LCM of 641, 221, 557, 510, 385
• LCM of 367, 992, 680, 661, 635
• LCM of 649, 744, 218, 704, 773
• LCM of 114, 538, 957, 377, 581
• LCM of 809, 855, 655, 521, 334

1. What is the LCM of 491, 763, 789, 900, 737?

Answer: LCM of 491, 763, 789, 900, 737 is 65353940120700.

2. How to calculate the LCM of 491, 763, 789, 900, 737?

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 491, 763, 789, 900, 737.

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}.