Given numbers are 749,76,609

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

The LCM of 749,76,609 is 4952388.

Find LCM of 749,76,609 with Prime Factorization

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

7 x 107 x 76 x 87 = 4952388

Therefore, the lowest common multiple of 749,76,609 is 4952388.

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 76 x 609 = 34666716

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

76 : 1, 2, 4, 19, 38, 76

609 : 1, 3, 7, 21, 29, 87, 203, 609

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,76,609, is 1.

Now, the common factors can be found like this.

749:7x 107

76:2x 2x 19

609:3x 7x 29

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

7 = 7

Therefore, the value for common factors is 7.

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 = 34666716/(1x7)

LCM = 34666716/7

LCM = 4952388

Thus, we can understand that the LCM of 749,76,609 is 4952388.

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

• LCM of 311, 61, 403
• LCM of 758, 70, 416
• LCM of 844, 88, 931
• LCM of 788, 26, 187
• LCM of 260, 93, 311

1. What is the LCM of 749, 76, 609?

Answer: LCM of 749, 76, 609 is 4952388.

2. How to calculate the LCM of 749, 76, 609?

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, 76, 609.

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}.