Given numbers are 140,724,272,504,742

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

The LCM of 140,724,272,504,742 is 821928240.

Find LCM of 140,724,272,504,742 with Prime Factorization

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

2 x 2 x 2 x 7 x 5 x 181 x 34 x 9 x 53 = 821928240

Therefore, the lowest common multiple of 140,724,272,504,742 is 821928240.

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.

140 x 724 x 272 x 504 x 742 = 10310267842560

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.

140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

724 : 1, 2, 4, 181, 362, 724

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

742 : 1, 2, 7, 14, 53, 106, 371, 742

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 140,724,272,504,742, is 2.

Now, the common factors can be found like this.

140:2x 2x 5x 7

724:2x 2x 181

272:2x 2x 2x 2x 17

504:2x 2x 2x 3x 3x 7

742:2x 7x 53

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 2x 2x 2x 2x 7x 7 = 6272

Therefore, the value for common factors is 6272.

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 = 10310267842560/(2x6272)

LCM = 10310267842560/12544

LCM = 821928240

Thus, we can understand that the LCM of 140,724,272,504,742 is 821928240.

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

• LCM of 150, 348, 198, 969, 298
• LCM of 933, 548, 857, 166, 415
• LCM of 637, 702, 347, 975, 599
• LCM of 253, 259, 389, 947, 268
• LCM of 598, 654, 501, 485, 964

1. What is the LCM of 140, 724, 272, 504, 742?

Answer: LCM of 140, 724, 272, 504, 742 is 821928240.

2. How to calculate the LCM of 140, 724, 272, 504, 742?

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 140, 724, 272, 504, 742.

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}.