Given numbers are 676,469,507,689

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

The LCM of 676,469,507,689 is 50409996.

Find LCM of 676,469,507,689 with Prime Factorization

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

13 x 13 x 4 x 469 x 3 x 53 = 50409996

Therefore, the lowest common multiple of 676,469,507,689 is 50409996.

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.

676 x 469 x 507 x 689 = 110750761212

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.

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

469 : 1, 7, 67, 469

507 : 1, 3, 13, 39, 169, 507

689 : 1, 13, 53, 689

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,469,507,689, is 1.

Now, the common factors can be found like this.

676:2x 2x 13x 13

469:7x 67

507:3x 13x 13

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.

13x 13x 13 = 2197

Therefore, the value for common factors is 2197.

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 = 110750761212/(1x2197)

LCM = 110750761212/2197

LCM = 50409996

Thus, we can understand that the LCM of 676,469,507,689 is 50409996.

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

• LCM of 360, 517, 854, 106
• LCM of 165, 968, 250, 114
• LCM of 142, 675, 637, 138
• LCM of 946, 574, 120, 280
• LCM of 121, 834, 262, 866

1. What is the LCM of 676, 469, 507, 689?

Answer: LCM of 676, 469, 507, 689 is 50409996.

2. How to calculate the LCM of 676, 469, 507, 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 676, 469, 507, 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}.