Given numbers are 344,142,213,661

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

The LCM of 344,142,213,661 is 48432792.

Find LCM of 344,142,213,661 with Prime Factorization

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

2 x 71 x 172 x 1 x 3 x 661 = 48432792

Therefore, the lowest common multiple of 344,142,213,661 is 48432792.

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.

344 x 142 x 213 x 661 = 6877456464

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.

344 : 1, 2, 4, 8, 43, 86, 172, 344

142 : 1, 2, 71, 142

213 : 1, 3, 71, 213

661 : 1, 661

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 344,142,213,661, is 1.

Now, the common factors can be found like this.

344:2x 2x 2x 43

142:2x 71

213:3x 71

661:661

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

2x 71 = 142

Therefore, the value for common factors is 142.

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 = 6877456464/(1x142)

LCM = 6877456464/142

LCM = 48432792

Thus, we can understand that the LCM of 344,142,213,661 is 48432792.

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

• LCM of 988, 542, 646, 314
• LCM of 129, 448, 262, 128
• LCM of 444, 924, 142, 312
• LCM of 560, 923, 175, 258
• LCM of 632, 963, 227, 364

1. What is the LCM of 344, 142, 213, 661?

Answer: LCM of 344, 142, 213, 661 is 48432792.

2. How to calculate the LCM of 344, 142, 213, 661?

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 344, 142, 213, 661.

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}.