Given numbers are 269,754,706,614

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

The LCM of 269,754,706,614 is 21980456446.

Find LCM of 269,754,706,614 with Prime Factorization

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

2 x 269 x 377 x 353 x 307 = 21980456446

Therefore, the lowest common multiple of 269,754,706,614 is 21980456446.

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.

269 x 754 x 706 x 614 = 87921825784

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.

269 : 1, 269

754 : 1, 2, 13, 26, 29, 58, 377, 754

706 : 1, 2, 353, 706

614 : 1, 2, 307, 614

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 269,754,706,614, is 1.

Now, the common factors can be found like this.

269:269

754:2x 13x 29

706:2x 353

614:2x 307

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 87921825784/(1x4)

LCM = 87921825784/4

LCM = 21980456446

Thus, we can understand that the LCM of 269,754,706,614 is 21980456446.

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

• LCM of 748, 980, 935, 573
• LCM of 864, 849, 595, 842
• LCM of 224, 995, 754, 224
• LCM of 253, 326, 562, 706
• LCM of 172, 396, 373, 931

1. What is the LCM of 269, 754, 706, 614?

Answer: LCM of 269, 754, 706, 614 is 21980456446.

2. How to calculate the LCM of 269, 754, 706, 614?

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 269, 754, 706, 614.

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}.