Given numbers are 546,920,202,342,988

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

The LCM of 546,920,202,342,988 is 1445928120.

Find LCM of 546,920,202,342,988 with Prime Factorization

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

2 x 2 x 3 x 13 x 19 x 7 x 230 x 101 x 3 x 1 = 1445928120

Therefore, the lowest common multiple of 546,920,202,342,988 is 1445928120.

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.

546 x 920 x 202 x 342 x 988 = 34285847581440

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.

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

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

202 : 1, 2, 101, 202

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,920,202,342,988, is 2.

Now, the common factors can be found like this.

546:2x 3x 7x 13

920:2x 2x 2x 5x 23

202:2x 101

342:2x 3x 3x 19

988:2x 2x 13x 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 2x 3x 13x 19 = 11856

Therefore, the value for common factors is 11856.

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 = 34285847581440/(2x11856)

LCM = 34285847581440/23712

LCM = 1445928120

Thus, we can understand that the LCM of 546,920,202,342,988 is 1445928120.

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

• LCM of 380, 114, 468, 983, 816
• LCM of 737, 607, 279, 398, 884
• LCM of 898, 474, 928, 328, 201
• LCM of 798, 867, 458, 887, 171
• LCM of 761, 187, 888, 956, 993

1. What is the LCM of 546, 920, 202, 342, 988?

Answer: LCM of 546, 920, 202, 342, 988 is 1445928120.

2. How to calculate the LCM of 546, 920, 202, 342, 988?

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 546, 920, 202, 342, 988.

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}.