Given numbers are 749,107,122

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

The LCM of 749,107,122 is 91378.

Find LCM of 749,107,122 with Prime Factorization

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

107 x 7 x 1 x 122 = 91378

Therefore, the lowest common multiple of 749,107,122 is 91378.

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.

749 x 107 x 122 = 9777446

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.

749 : 1, 7, 107, 749

107 : 1, 107

122 : 1, 2, 61, 122

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,107,122, is 1.

Now, the common factors can be found like this.

749:7x 107

107:107

122:2x 61

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

107 = 107

Therefore, the value for common factors is 107.

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 = 9777446/(1x107)

LCM = 9777446/107

LCM = 91378

Thus, we can understand that the LCM of 749,107,122 is 91378.

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

• LCM of 417, 130, 801
• LCM of 249, 696, 437
• LCM of 576, 361, 509
• LCM of 351, 439, 598
• LCM of 307, 708, 819

1. What is the LCM of 749, 107, 122?

Answer: LCM of 749, 107, 122 is 91378.

2. How to calculate the LCM of 749, 107, 122?

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 749, 107, 122.

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}.