Given numbers are 689,54,956

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

The LCM of 689,54,956 is 17784468.

Find LCM of 689,54,956 with Prime Factorization

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

2 x 689 x 27 x 478 = 17784468

Therefore, the lowest common multiple of 689,54,956 is 17784468.

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.

689 x 54 x 956 = 35568936

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.

689 : 1, 13, 53, 689

54 : 1, 2, 3, 6, 9, 18, 27, 54

956 : 1, 2, 4, 239, 478, 956

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,54,956, is 1.

Now, the common factors can be found like this.

689:13x 53

54:2x 3x 3x 3

956:2x 2x 239

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

2 = 2

Therefore, the value for common factors is 2.

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 = 35568936/(1x2)

LCM = 35568936/2

LCM = 17784468

Thus, we can understand that the LCM of 689,54,956 is 17784468.

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

• LCM of 310, 45, 113
• LCM of 510, 63, 735
• LCM of 754, 55, 498
• LCM of 773, 51, 681
• LCM of 867, 83, 929

1. What is the LCM of 689, 54, 956?

Answer: LCM of 689, 54, 956 is 17784468.

2. How to calculate the LCM of 689, 54, 956?

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 689, 54, 956.

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}.