Given numbers are 391,769,414,157,720

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

The LCM of 391,769,414,157,720 is 33988754160.

Find LCM of 391,769,414,157,720 with Prime Factorization

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

2 x 3 x 3 x 23 x 17 x 769 x 1 x 157 x 40 = 33988754160

Therefore, the lowest common multiple of 391,769,414,157,720 is 33988754160.

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.

391 x 769 x 414 x 157 x 720 = 14071344222240

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.

391 : 1, 17, 23, 391

769 : 1, 769

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

157 : 1, 157

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 391,769,414,157,720, is 1.

Now, the common factors can be found like this.

391:17x 23

769:769

414:2x 3x 3x 23

157:157

720:2x 2x 2x 2x 3x 3x 5

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

2x 3x 3x 23 = 414

Therefore, the value for common factors is 414.

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 = 14071344222240/(1x414)

LCM = 14071344222240/414

LCM = 33988754160

Thus, we can understand that the LCM of 391,769,414,157,720 is 33988754160.

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

• LCM of 340, 926, 678, 807, 665
• LCM of 578, 234, 211, 922, 911
• LCM of 618, 862, 688, 874, 806
• LCM of 343, 908, 770, 682, 969
• LCM of 227, 688, 321, 503, 217

1. What is the LCM of 391, 769, 414, 157, 720?

Answer: LCM of 391, 769, 414, 157, 720 is 33988754160.

2. How to calculate the LCM of 391, 769, 414, 157, 720?

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 391, 769, 414, 157, 720.

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}.