Given numbers are 749,52,871

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

The LCM of 749,52,871 is 2609516.

Find LCM of 749,52,871 with Prime Factorization

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

13 x 749 x 4 x 67 = 2609516

Therefore, the lowest common multiple of 749,52,871 is 2609516.

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 52 x 871 = 33923708

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

52 : 1, 2, 4, 13, 26, 52

871 : 1, 13, 67, 871

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,52,871, is 1.

Now, the common factors can be found like this.

749:7x 107

52:2x 2x 13

871:13x 67

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

13 = 13

Therefore, the value for common factors is 13.

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 = 33923708/(1x13)

LCM = 33923708/13

LCM = 2609516

Thus, we can understand that the LCM of 749,52,871 is 2609516.

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

• LCM of 651, 93, 987
• LCM of 344, 95, 571
• LCM of 125, 73, 683
• LCM of 428, 48, 242
• LCM of 966, 56, 907

1. What is the LCM of 749, 52, 871?

Answer: LCM of 749, 52, 871 is 2609516.

2. How to calculate the LCM of 749, 52, 871?

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, 52, 871.

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}.