Given numbers are 689,131,209,969

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

The LCM of 689,131,209,969 is 962070681.

Find LCM of 689,131,209,969 with Prime Factorization

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

19 x 689 x 131 x 11 x 51 = 962070681

Therefore, the lowest common multiple of 689,131,209,969 is 962070681.

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 131 x 209 x 969 = 18279342939

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

131 : 1, 131

209 : 1, 11, 19, 209

969 : 1, 3, 17, 19, 51, 57, 323, 969

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,131,209,969, is 1.

Now, the common factors can be found like this.

689:13x 53

131:131

209:11x 19

969:3x 17x 19

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

19 = 19

Therefore, the value for common factors is 19.

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 = 18279342939/(1x19)

LCM = 18279342939/19

LCM = 962070681

Thus, we can understand that the LCM of 689,131,209,969 is 962070681.

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

• LCM of 343, 895, 224, 984
• LCM of 102, 111, 932, 161
• LCM of 738, 556, 452, 401
• LCM of 132, 433, 711, 847
• LCM of 465, 368, 931, 817

1. What is the LCM of 689, 131, 209, 969?

Answer: LCM of 689, 131, 209, 969 is 962070681.

2. How to calculate the LCM of 689, 131, 209, 969?

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, 131, 209, 969.

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}.