Given numbers are 342,520,616,278,562

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

The LCM of 342,520,616,278,562 is 267430723560.

Find LCM of 342,520,616,278,562 with Prime Factorization

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

2 x 2 x 2 x 171 x 65 x 77 x 139 x 281 = 267430723560

Therefore, the lowest common multiple of 342,520,616,278,562 is 267430723560.

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.

342 x 520 x 616 x 278 x 562 = 17115566307840

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.

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

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

278 : 1, 2, 139, 278

562 : 1, 2, 281, 562

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 342,520,616,278,562, is 2.

Now, the common factors can be found like this.

342:2x 3x 3x 19

520:2x 2x 2x 5x 13

616:2x 2x 2x 7x 11

278:2x 139

562:2x 281

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 2 = 32

Therefore, the value for common factors is 32.

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 = 17115566307840/(2x32)

LCM = 17115566307840/64

LCM = 267430723560

Thus, we can understand that the LCM of 342,520,616,278,562 is 267430723560.

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

• LCM of 490, 313, 226, 798, 988
• LCM of 984, 154, 302, 893, 104
• LCM of 934, 992, 582, 210, 604
• LCM of 467, 578, 691, 456, 187
• LCM of 295, 163, 112, 789, 196

1. What is the LCM of 342, 520, 616, 278, 562?

Answer: LCM of 342, 520, 616, 278, 562 is 267430723560.

2. How to calculate the LCM of 342, 520, 616, 278, 562?

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 342, 520, 616, 278, 562.

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}.