Given numbers are 414,672,269,128,701

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

The LCM of 414,672,269,128,701 is 34974269568.

Find LCM of 414,672,269,128,701 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 3 x 69 x 7 x 269 x 4 x 701 = 34974269568

Therefore, the lowest common multiple of 414,672,269,128,701 is 34974269568.

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.

414 x 672 x 269 x 128 x 701 = 6715059757056

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.

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

269 : 1, 269

128 : 1, 2, 4, 8, 16, 32, 64, 128

701 : 1, 701

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,672,269,128,701, is 1.

Now, the common factors can be found like this.

414:2x 3x 3x 23

672:2x 2x 2x 2x 2x 3x 7

269:269

128:2x 2x 2x 2x 2x 2x 2

701:701

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

2x 2x 2x 2x 2x 2x 3 = 192

Therefore, the value for common factors is 192.

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 = 6715059757056/(1x192)

LCM = 6715059757056/192

LCM = 34974269568

Thus, we can understand that the LCM of 414,672,269,128,701 is 34974269568.

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

• LCM of 864, 534, 591, 477, 229
• LCM of 525, 101, 593, 104, 863
• LCM of 743, 894, 556, 362, 422
• LCM of 726, 434, 459, 402, 205
• LCM of 891, 900, 542, 783, 428

1. What is the LCM of 414, 672, 269, 128, 701?

Answer: LCM of 414, 672, 269, 128, 701 is 34974269568.

2. How to calculate the LCM of 414, 672, 269, 128, 701?

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 414, 672, 269, 128, 701.

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}.