Given numbers are 195,107,749

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

The LCM of 195,107,749 is 146055.

Find LCM of 195,107,749 with Prime Factorization

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

107 x 195 x 1 x 7 = 146055

Therefore, the lowest common multiple of 195,107,749 is 146055.

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.

195 x 107 x 749 = 15627885

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.

195 : 1, 3, 5, 13, 15, 39, 65, 195

107 : 1, 107

749 : 1, 7, 107, 749

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 195,107,749, is 1.

Now, the common factors can be found like this.

195:3x 5x 13

107:107

749:7x 107

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 = 15627885/(1x107)

LCM = 15627885/107

LCM = 146055

Thus, we can understand that the LCM of 195,107,749 is 146055.

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

• LCM of 916, 986, 427
• LCM of 756, 427, 361
• LCM of 587, 882, 665
• LCM of 838, 892, 664
• LCM of 828, 953, 905

1. What is the LCM of 195, 107, 749?

Answer: LCM of 195, 107, 749 is 146055.

2. How to calculate the LCM of 195, 107, 749?

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 195, 107, 749.

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}.