Given numbers are 157,190,140,340,596

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

The LCM of 157,190,140,340,596 is 1057831460.

Find LCM of 157,190,140,340,596 with Prime Factorization

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

2 x 2 x 5 x 157 x 19 x 7 x 17 x 149 = 1057831460

Therefore, the lowest common multiple of 157,190,140,340,596 is 1057831460.

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 190 x 140 x 340 x 596 = 846265168000

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

190 : 1, 2, 5, 10, 19, 38, 95, 190

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

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

596 : 1, 2, 4, 149, 298, 596

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 157,190,140,340,596, is 1.

Now, the common factors can be found like this.

157:157

190:2x 5x 19

140:2x 2x 5x 7

340:2x 2x 5x 17

596:2x 2x 149

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 5x 5 = 800

Therefore, the value for common factors is 800.

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 = 846265168000/(1x800)

LCM = 846265168000/800

LCM = 1057831460

Thus, we can understand that the LCM of 157,190,140,340,596 is 1057831460.

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

• LCM of 327, 511, 174, 570, 297
• LCM of 885, 675, 204, 893, 143
• LCM of 750, 596, 922, 525, 258
• LCM of 696, 682, 607, 568, 588
• LCM of 521, 325, 983, 949, 955

1. What is the LCM of 157, 190, 140, 340, 596?

Answer: LCM of 157, 190, 140, 340, 596 is 1057831460.

2. How to calculate the LCM of 157, 190, 140, 340, 596?

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, 190, 140, 340, 596.

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}.