Given numbers are 403,432,119,689,461

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

The LCM of 403,432,119,689,461 is 506188820592.

Find LCM of 403,432,119,689,461 with Prime Factorization

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

13 x 31 x 432 x 119 x 53 x 461 = 506188820592

Therefore, the lowest common multiple of 403,432,119,689,461 is 506188820592.

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.

403 x 432 x 119 x 689 x 461 = 6580454667696

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.

403 : 1, 13, 31, 403

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

119 : 1, 7, 17, 119

689 : 1, 13, 53, 689

461 : 1, 461

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 403,432,119,689,461, is 1.

Now, the common factors can be found like this.

403:13x 31

432:2x 2x 2x 2x 3x 3x 3

119:7x 17

689:13x 53

461:461

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

13 = 13

Therefore, the value for common factors is 13.

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 = 6580454667696/(1x13)

LCM = 6580454667696/13

LCM = 506188820592

Thus, we can understand that the LCM of 403,432,119,689,461 is 506188820592.

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

• LCM of 773, 681, 122, 332, 897
• LCM of 538, 941, 400, 895, 802
• LCM of 512, 615, 714, 535, 171
• LCM of 202, 740, 133, 188, 692
• LCM of 738, 378, 821, 428, 480

1. What is the LCM of 403, 432, 119, 689, 461?

Answer: LCM of 403, 432, 119, 689, 461 is 506188820592.

2. How to calculate the LCM of 403, 432, 119, 689, 461?

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 403, 432, 119, 689, 461.

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}.