Given numbers are 291,106,234,113

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

The LCM of 291,106,234,113 is 135938322.

Find LCM of 291,106,234,113 with Prime Factorization

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

2 x 3 x 97 x 53 x 39 x 113 = 135938322

Therefore, the lowest common multiple of 291,106,234,113 is 135938322.

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.

291 x 106 x 234 x 113 = 815629932

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.

291 : 1, 3, 97, 291

106 : 1, 2, 53, 106

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

113 : 1, 113

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 291,106,234,113, is 1.

Now, the common factors can be found like this.

291:3x 97

106:2x 53

234:2x 3x 3x 13

113:113

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 815629932/(1x6)

LCM = 815629932/6

LCM = 135938322

Thus, we can understand that the LCM of 291,106,234,113 is 135938322.

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

• LCM of 179, 670, 107, 560
• LCM of 314, 586, 596, 300
• LCM of 992, 562, 161, 143
• LCM of 949, 154, 890, 680
• LCM of 888, 234, 828, 922

1. What is the LCM of 291, 106, 234, 113?

Answer: LCM of 291, 106, 234, 113 is 135938322.

2. How to calculate the LCM of 291, 106, 234, 113?

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 291, 106, 234, 113.

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}.