Given numbers are 208,424,936,307

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

The LCM of 208,424,936,307 is 30459312.

Find LCM of 208,424,936,307 with Prime Factorization

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

2 x 2 x 2 x 13 x 2 x 53 x 9 x 307 = 30459312

Therefore, the lowest common multiple of 208,424,936,307 is 30459312.

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.

208 x 424 x 936 x 307 = 25342147584

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.

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

424 : 1, 2, 4, 8, 53, 106, 212, 424

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

307 : 1, 307

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 208,424,936,307, is 1.

Now, the common factors can be found like this.

208:2x 2x 2x 2x 13

424:2x 2x 2x 53

936:2x 2x 2x 3x 3x 13

307:307

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

2x 2x 2x 2x 2x 2x 13 = 832

Therefore, the value for common factors is 832.

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 = 25342147584/(1x832)

LCM = 25342147584/832

LCM = 30459312

Thus, we can understand that the LCM of 208,424,936,307 is 30459312.

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

• LCM of 629, 535, 699, 787
• LCM of 846, 941, 162, 510
• LCM of 550, 143, 598, 672
• LCM of 983, 425, 346, 920
• LCM of 516, 538, 293, 827

1. What is the LCM of 208, 424, 936, 307?

Answer: LCM of 208, 424, 936, 307 is 30459312.

2. How to calculate the LCM of 208, 424, 936, 307?

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 208, 424, 936, 307.

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}.