Given numbers are 142,214,932,226,343

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

The LCM of 142,214,932,226,343 is 274429378636.

Find LCM of 142,214,932,226,343 with Prime Factorization

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

2 x 71 x 107 x 466 x 113 x 343 = 274429378636

Therefore, the lowest common multiple of 142,214,932,226,343 is 274429378636.

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.

142 x 214 x 932 x 226 x 343 = 2195435029088

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.

142 : 1, 2, 71, 142

214 : 1, 2, 107, 214

932 : 1, 2, 4, 233, 466, 932

226 : 1, 2, 113, 226

343 : 1, 7, 49, 343

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 142,214,932,226,343, is 1.

Now, the common factors can be found like this.

142:2x 71

214:2x 107

932:2x 2x 233

226:2x 113

343:7x 7x 7

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 2 = 8

Therefore, the value for common factors is 8.

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 = 2195435029088/(1x8)

LCM = 2195435029088/8

LCM = 274429378636

Thus, we can understand that the LCM of 142,214,932,226,343 is 274429378636.

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

• LCM of 876, 842, 253, 150, 781
• LCM of 589, 555, 419, 864, 907
• LCM of 820, 194, 730, 751, 591
• LCM of 120, 191, 880, 713, 213
• LCM of 101, 916, 955, 225, 710

1. What is the LCM of 142, 214, 932, 226, 343?

Answer: LCM of 142, 214, 932, 226, 343 is 274429378636.

2. How to calculate the LCM of 142, 214, 932, 226, 343?

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 142, 214, 932, 226, 343.

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}.