Given numbers are 345,343,278,282

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

The LCM of 345,343,278,282 is 1546165110.

Find LCM of 345,343,278,282 with Prime Factorization

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

2 x 3 x 115 x 343 x 139 x 47 = 1546165110

Therefore, the lowest common multiple of 345,343,278,282 is 1546165110.

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.

345 x 343 x 278 x 282 = 9276990660

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.

345 : 1, 3, 5, 15, 23, 69, 115, 345

343 : 1, 7, 49, 343

278 : 1, 2, 139, 278

282 : 1, 2, 3, 6, 47, 94, 141, 282

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 345,343,278,282, is 1.

Now, the common factors can be found like this.

345:3x 5x 23

343:7x 7x 7

278:2x 139

282:2x 3x 47

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 9276990660/(1x6)

LCM = 9276990660/6

LCM = 1546165110

Thus, we can understand that the LCM of 345,343,278,282 is 1546165110.

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

• LCM of 454, 384, 355, 758
• LCM of 741, 532, 450, 941
• LCM of 900, 582, 747, 483
• LCM of 920, 807, 580, 752
• LCM of 556, 923, 665, 639

1. What is the LCM of 345, 343, 278, 282?

Answer: LCM of 345, 343, 278, 282 is 1546165110.

2. How to calculate the LCM of 345, 343, 278, 282?

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 345, 343, 278, 282.

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}.