Given numbers are 730,713,434,144,682

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

The LCM of 730,713,434,144,682 is 2885596560.

Find LCM of 730,713,434,144,682 with Prime Factorization

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

2 x 31 x 365 x 23 x 7 x 72 x 11 = 2885596560

Therefore, the lowest common multiple of 730,713,434,144,682 is 2885596560.

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 713 x 434 x 144 x 682 = 22184466353280

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

713 : 1, 23, 31, 713

434 : 1, 2, 7, 14, 31, 62, 217, 434

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

682 : 1, 2, 11, 22, 31, 62, 341, 682

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 730,713,434,144,682, is 1.

Now, the common factors can be found like this.

730:2x 5x 73

713:23x 31

434:2x 7x 31

144:2x 2x 2x 2x 3x 3

682:2x 11x 31

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 31x 31 = 7688

Therefore, the value for common factors is 7688.

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 = 22184466353280/(1x7688)

LCM = 22184466353280/7688

LCM = 2885596560

Thus, we can understand that the LCM of 730,713,434,144,682 is 2885596560.

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

• LCM of 426, 716, 400, 420, 321
• LCM of 420, 796, 846, 953, 731
• LCM of 915, 368, 472, 309, 541
• LCM of 753, 670, 705, 673, 178
• LCM of 749, 479, 496, 688, 823

1. What is the LCM of 730, 713, 434, 144, 682?

Answer: LCM of 730, 713, 434, 144, 682 is 2885596560.

2. How to calculate the LCM of 730, 713, 434, 144, 682?

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, 713, 434, 144, 682.

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}.