Given numbers are 354,31,118

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

The LCM of 354,31,118 is 10974.

Find LCM of 354,31,118 with Prime Factorization

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

2 x 59 x 3 x 31 x 1 = 10974

Therefore, the lowest common multiple of 354,31,118 is 10974.

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.

354 x 31 x 118 = 1294932

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.

354 : 1, 2, 3, 6, 59, 118, 177, 354

31 : 1, 31

118 : 1, 2, 59, 118

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 354,31,118, is 1.

Now, the common factors can be found like this.

354:2x 3x 59

31:31

118:2x 59

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

2x 59 = 118

Therefore, the value for common factors is 118.

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 = 1294932/(1x118)

LCM = 1294932/118

LCM = 10974

Thus, we can understand that the LCM of 354,31,118 is 10974.

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

• LCM of 357, 64, 162
• LCM of 630, 24, 303
• LCM of 527, 47, 843
• LCM of 638, 79, 868
• LCM of 415, 22, 537

1. What is the LCM of 354, 31, 118?

Answer: LCM of 354, 31, 118 is 10974.

2. How to calculate the LCM of 354, 31, 118?

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 354, 31, 118.

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}.