Given numbers are 749,707,761

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

The LCM of 749,707,761 is 57568889.

Find LCM of 749,707,761 with Prime Factorization

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

7 x 107 x 101 x 761 = 57568889

Therefore, the lowest common multiple of 749,707,761 is 57568889.

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 707 x 761 = 402982223

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

707 : 1, 7, 101, 707

761 : 1, 761

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,707,761, is 1.

Now, the common factors can be found like this.

749:7x 107

707:7x 101

761:761

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 = 402982223/(1x7)

LCM = 402982223/7

LCM = 57568889

Thus, we can understand that the LCM of 749,707,761 is 57568889.

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

• LCM of 754, 673, 355
• LCM of 104, 925, 860
• LCM of 420, 799, 802
• LCM of 178, 862, 710
• LCM of 899, 979, 667

1. What is the LCM of 749, 707, 761?

Answer: LCM of 749, 707, 761 is 57568889.

2. How to calculate the LCM of 749, 707, 761?

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, 707, 761.

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}.