Given numbers are 728,946,491

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

The LCM of 728,946,491 is 169072904.

Find LCM of 728,946,491 with Prime Factorization

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

2 x 364 x 473 x 491 = 169072904

Therefore, the lowest common multiple of 728,946,491 is 169072904.

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.

728 x 946 x 491 = 338145808

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.

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

946 : 1, 2, 11, 22, 43, 86, 473, 946

491 : 1, 491

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,946,491, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

946:2x 11x 43

491:491

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

2 = 2

Therefore, the value for common factors is 2.

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 = 338145808/(1x2)

LCM = 338145808/2

LCM = 169072904

Thus, we can understand that the LCM of 728,946,491 is 169072904.

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

• LCM of 802, 809, 841
• LCM of 649, 486, 820
• LCM of 311, 863, 986
• LCM of 570, 490, 601
• LCM of 784, 813, 122

1. What is the LCM of 728, 946, 491?

Answer: LCM of 728, 946, 491 is 169072904.

2. How to calculate the LCM of 728, 946, 491?

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 728, 946, 491.

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}.