Given numbers are 746,923,689

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

The LCM of 746,923,689 is 36493574.

Find LCM of 746,923,689 with Prime Factorization

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

13 x 746 x 71 x 53 = 36493574

Therefore, the lowest common multiple of 746,923,689 is 36493574.

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.

746 x 923 x 689 = 474416462

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.

746 : 1, 2, 373, 746

923 : 1, 13, 71, 923

689 : 1, 13, 53, 689

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 746,923,689, is 1.

Now, the common factors can be found like this.

746:2x 373

923:13x 71

689:13x 53

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 = 474416462/(1x13)

LCM = 474416462/13

LCM = 36493574

Thus, we can understand that the LCM of 746,923,689 is 36493574.

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

• LCM of 123, 296, 347
• LCM of 311, 517, 621
• LCM of 640, 564, 870
• LCM of 816, 525, 342
• LCM of 894, 815, 719

1. What is the LCM of 746, 923, 689?

Answer: LCM of 746, 923, 689 is 36493574.

2. How to calculate the LCM of 746, 923, 689?

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 746, 923, 689.

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}.