Given numbers are 914,562,202,397,144

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

The LCM of 914,562,202,397,144 is 741475648656.

Find LCM of 914,562,202,397,144 with Prime Factorization

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

2 x 457 x 281 x 101 x 397 x 72 = 741475648656

Therefore, the lowest common multiple of 914,562,202,397,144 is 741475648656.

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.

914 x 562 x 202 x 397 x 144 = 5931805189248

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.

914 : 1, 2, 457, 914

562 : 1, 2, 281, 562

202 : 1, 2, 101, 202

397 : 1, 397

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 914,562,202,397,144, is 1.

Now, the common factors can be found like this.

914:2x 457

562:2x 281

202:2x 101

397:397

144:2x 2x 2x 2x 3x 3

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 2 = 8

Therefore, the value for common factors is 8.

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 = 5931805189248/(1x8)

LCM = 5931805189248/8

LCM = 741475648656

Thus, we can understand that the LCM of 914,562,202,397,144 is 741475648656.

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

• LCM of 123, 641, 666, 786, 329
• LCM of 484, 209, 910, 681, 268
• LCM of 845, 489, 885, 150, 882
• LCM of 526, 916, 467, 548, 293
• LCM of 578, 689, 926, 703, 884

1. What is the LCM of 914, 562, 202, 397, 144?

Answer: LCM of 914, 562, 202, 397, 144 is 741475648656.

2. How to calculate the LCM of 914, 562, 202, 397, 144?

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 914, 562, 202, 397, 144.

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}.