Given numbers are 730,690,630,234,381

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

The LCM of 730,690,630,234,381 is 1746378270.

Find LCM of 730,690,630,234,381 with Prime Factorization

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

2 x 3 x 3 x 5 x 73 x 23 x 7 x 13 x 127 = 1746378270

Therefore, the lowest common multiple of 730,690,630,234,381 is 1746378270.

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.

730 x 690 x 630 x 234 x 381 = 28291327974000

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.

730 : 1, 2, 5, 10, 73, 146, 365, 730

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

381 : 1, 3, 127, 381

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 730,690,630,234,381, is 1.

Now, the common factors can be found like this.

730:2x 5x 73

690:2x 3x 5x 23

630:2x 3x 3x 5x 7

234:2x 3x 3x 13

381:3x 127

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 2x 3x 3x 3x 3x 5x 5 = 16200

Therefore, the value for common factors is 16200.

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 = 28291327974000/(1x16200)

LCM = 28291327974000/16200

LCM = 1746378270

Thus, we can understand that the LCM of 730,690,630,234,381 is 1746378270.

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

• LCM of 644, 464, 961, 844, 526
• LCM of 779, 960, 597, 963, 740
• LCM of 410, 737, 459, 544, 910
• LCM of 463, 525, 647, 629, 638
• LCM of 143, 151, 188, 799, 822

1. What is the LCM of 730, 690, 630, 234, 381?

Answer: LCM of 730, 690, 630, 234, 381 is 1746378270.

2. How to calculate the LCM of 730, 690, 630, 234, 381?

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 730, 690, 630, 234, 381.

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}.