Given numbers are 157,407,294,189,749

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

The LCM of 157,407,294,189,749 is 18091212678.

Find LCM of 157,407,294,189,749 with Prime Factorization

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

3 x 7 x 157 x 407 x 14 x 9 x 107 = 18091212678

Therefore, the lowest common multiple of 157,407,294,189,749 is 18091212678.

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.

157 x 407 x 294 x 189 x 749 = 2659408263666

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.

157 : 1, 157

407 : 1, 11, 37, 407

294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

189 : 1, 3, 7, 9, 21, 27, 63, 189

749 : 1, 7, 107, 749

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 157,407,294,189,749, is 1.

Now, the common factors can be found like this.

157:157

407:11x 37

294:2x 3x 7x 7

189:3x 3x 3x 7

749:7x 107

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

3x 7x 7 = 147

Therefore, the value for common factors is 147.

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 = 2659408263666/(1x147)

LCM = 2659408263666/147

LCM = 18091212678

Thus, we can understand that the LCM of 157,407,294,189,749 is 18091212678.

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

• LCM of 122, 730, 281, 501, 946
• LCM of 680, 463, 182, 250, 649
• LCM of 614, 255, 337, 226, 614
• LCM of 255, 643, 601, 300, 656
• LCM of 994, 545, 505, 180, 697

1. What is the LCM of 157, 407, 294, 189, 749?

Answer: LCM of 157, 407, 294, 189, 749 is 18091212678.

2. How to calculate the LCM of 157, 407, 294, 189, 749?

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 157, 407, 294, 189, 749.

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}.