Given numbers are 293,523,420,772,991

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

The LCM of 293,523,420,772,991 is 12309759359940.

Find LCM of 293,523,420,772,991 with Prime Factorization

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

2 x 2 x 293 x 523 x 105 x 193 x 991 = 12309759359940

Therefore, the lowest common multiple of 293,523,420,772,991 is 12309759359940.

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 523 x 420 x 772 x 991 = 49239037439760

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

523 : 1, 523

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

772 : 1, 2, 4, 193, 386, 772

991 : 1, 991

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 293,523,420,772,991, is 1.

Now, the common factors can be found like this.

293:293

523:523

420:2x 2x 3x 5x 7

772:2x 2x 193

991:991

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 49239037439760/(1x4)

LCM = 49239037439760/4

LCM = 12309759359940

Thus, we can understand that the LCM of 293,523,420,772,991 is 12309759359940.

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

• LCM of 945, 138, 557, 245, 970
• LCM of 343, 696, 386, 948, 457
• LCM of 783, 382, 985, 721, 746
• LCM of 480, 686, 960, 215, 622
• LCM of 770, 953, 239, 907, 949

1. What is the LCM of 293, 523, 420, 772, 991?

Answer: LCM of 293, 523, 420, 772, 991 is 12309759359940.

2. How to calculate the LCM of 293, 523, 420, 772, 991?

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, 523, 420, 772, 991.

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}.