Given numbers are 237,112,656,514

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

The LCM of 237,112,656,514 is 279694128.

Find LCM of 237,112,656,514 with Prime Factorization

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

2 x 2 x 2 x 2 x 237 x 7 x 41 x 257 = 279694128

Therefore, the lowest common multiple of 237,112,656,514 is 279694128.

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.

237 x 112 x 656 x 514 = 8950212096

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.

237 : 1, 3, 79, 237

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656

514 : 1, 2, 257, 514

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 237,112,656,514, is 1.

Now, the common factors can be found like this.

237:3x 79

112:2x 2x 2x 2x 7

656:2x 2x 2x 2x 41

514:2x 257

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 = 8950212096/(1x32)

LCM = 8950212096/32

LCM = 279694128

Thus, we can understand that the LCM of 237,112,656,514 is 279694128.

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

• LCM of 460, 202, 613, 653
• LCM of 980, 901, 718, 454
• LCM of 304, 511, 109, 835
• LCM of 222, 300, 803, 900
• LCM of 649, 144, 837, 393

1. What is the LCM of 237, 112, 656, 514?

Answer: LCM of 237, 112, 656, 514 is 279694128.

2. How to calculate the LCM of 237, 112, 656, 514?

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 237, 112, 656, 514.

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}.