Given numbers are 202,193,546,726,760

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

The LCM of 202,193,546,726,760 is 489373324440.

Find LCM of 202,193,546,726,760 with Prime Factorization

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

2 x 3 x 101 x 193 x 91 x 121 x 380 = 489373324440

Therefore, the lowest common multiple of 202,193,546,726,760 is 489373324440.

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.

202 x 193 x 546 x 726 x 760 = 11744959786560

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.

202 : 1, 2, 101, 202

193 : 1, 193

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 202,193,546,726,760, is 1.

Now, the common factors can be found like this.

202:2x 101

193:193

546:2x 3x 7x 13

726:2x 3x 11x 11

760:2x 2x 2x 5x 19

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 3 = 24

Therefore, the value for common factors is 24.

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 = 11744959786560/(1x24)

LCM = 11744959786560/24

LCM = 489373324440

Thus, we can understand that the LCM of 202,193,546,726,760 is 489373324440.

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

• LCM of 734, 120, 182, 177, 198
• LCM of 583, 771, 736, 696, 438
• LCM of 930, 498, 910, 130, 909
• LCM of 842, 208, 795, 292, 964
• LCM of 977, 380, 726, 591, 205

1. What is the LCM of 202, 193, 546, 726, 760?

Answer: LCM of 202, 193, 546, 726, 760 is 489373324440.

2. How to calculate the LCM of 202, 193, 546, 726, 760?

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 202, 193, 546, 726, 760.

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}.