Given numbers are 293,590,273,478,936

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

The LCM of 293,590,273,478,936 is 135350986680.

Find LCM of 293,590,273,478,936 with Prime Factorization

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

2 x 3 x 13 x 293 x 295 x 7 x 239 x 12 = 135350986680

Therefore, the lowest common multiple of 293,590,273,478,936 is 135350986680.

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.

293 x 590 x 273 x 478 x 936 = 21114753922080

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.

293 : 1, 293

590 : 1, 2, 5, 10, 59, 118, 295, 590

273 : 1, 3, 7, 13, 21, 39, 91, 273

478 : 1, 2, 239, 478

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 293,590,273,478,936, is 1.

Now, the common factors can be found like this.

293:293

590:2x 5x 59

273:3x 7x 13

478:2x 239

936:2x 2x 2x 3x 3x 13

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 3x 13 = 156

Therefore, the value for common factors is 156.

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 = 21114753922080/(1x156)

LCM = 21114753922080/156

LCM = 135350986680

Thus, we can understand that the LCM of 293,590,273,478,936 is 135350986680.

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

• LCM of 880, 123, 736, 841, 980
• LCM of 319, 189, 512, 377, 373
• LCM of 789, 319, 117, 325, 924
• LCM of 492, 516, 831, 354, 815
• LCM of 413, 864, 632, 785, 479

1. What is the LCM of 293, 590, 273, 478, 936?

Answer: LCM of 293, 590, 273, 478, 936 is 135350986680.

2. How to calculate the LCM of 293, 590, 273, 478, 936?

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 293, 590, 273, 478, 936.

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}.