Given numbers are 624,780,271,242

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

The LCM of 624,780,271,242 is 102307920.

Find LCM of 624,780,271,242 with Prime Factorization

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

2 x 2 x 3 x 13 x 4 x 5 x 271 x 121 = 102307920

Therefore, the lowest common multiple of 624,780,271,242 is 102307920.

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.

624 x 780 x 271 x 242 = 31920071040

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.

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

271 : 1, 271

242 : 1, 2, 11, 22, 121, 242

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 624,780,271,242, is 1.

Now, the common factors can be found like this.

624:2x 2x 2x 2x 3x 13

780:2x 2x 3x 5x 13

271:271

242:2x 11x 11

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 3x 13 = 312

Therefore, the value for common factors is 312.

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 = 31920071040/(1x312)

LCM = 31920071040/312

LCM = 102307920

Thus, we can understand that the LCM of 624,780,271,242 is 102307920.

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

• LCM of 831, 949, 112, 774
• LCM of 882, 732, 447, 824
• LCM of 184, 521, 507, 449
• LCM of 257, 666, 628, 868
• LCM of 150, 441, 917, 991

1. What is the LCM of 624, 780, 271, 242?

Answer: LCM of 624, 780, 271, 242 is 102307920.

2. How to calculate the LCM of 624, 780, 271, 242?

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 624, 780, 271, 242.

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}.