Given numbers are 85,98,343

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

The LCM of 85,98,343 is 58310.

Find LCM of 85,98,343 with Prime Factorization

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

7 x 7 x 85 x 2 x 7 = 58310

Therefore, the lowest common multiple of 85,98,343 is 58310.

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.

85 x 98 x 343 = 2857190

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.

85 : 1, 5, 17, 85

98 : 1, 2, 7, 14, 49, 98

343 : 1, 7, 49, 343

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 85,98,343, is 1.

Now, the common factors can be found like this.

85:5x 17

98:2x 7x 7

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.

7x 7 = 49

Therefore, the value for common factors is 49.

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 = 2857190/(1x49)

LCM = 2857190/49

LCM = 58310

Thus, we can understand that the LCM of 85,98,343 is 58310.

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

• LCM of 74, 44, 425
• LCM of 76, 34, 275
• LCM of 56, 93, 111
• LCM of 82, 75, 219
• LCM of 71, 60, 464

1. What is the LCM of 85, 98, 343?

Answer: LCM of 85, 98, 343 is 58310.

2. How to calculate the LCM of 85, 98, 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 85, 98, 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}.