Given numbers are 240,297,737,686

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

The LCM of 240,297,737,686 is 546028560.

Find LCM of 240,297,737,686 with Prime Factorization

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

2 x 3 x 11 x 40 x 9 x 67 x 343 = 546028560

Therefore, the lowest common multiple of 240,297,737,686 is 546028560.

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.

240 x 297 x 737 x 686 = 36037884960

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.

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

297 : 1, 3, 9, 11, 27, 33, 99, 297

737 : 1, 11, 67, 737

686 : 1, 2, 7, 14, 49, 98, 343, 686

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 240,297,737,686, is 1.

Now, the common factors can be found like this.

240:2x 2x 2x 2x 3x 5

297:3x 3x 3x 11

737:11x 67

686:2x 7x 7x 7

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 11 = 66

Therefore, the value for common factors is 66.

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 = 36037884960/(1x66)

LCM = 36037884960/66

LCM = 546028560

Thus, we can understand that the LCM of 240,297,737,686 is 546028560.

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

• LCM of 899, 269, 266, 186
• LCM of 456, 462, 561, 405
• LCM of 995, 628, 742, 934
• LCM of 372, 974, 160, 331
• LCM of 784, 624, 765, 329

1. What is the LCM of 240, 297, 737, 686?

Answer: LCM of 240, 297, 737, 686 is 546028560.

2. How to calculate the LCM of 240, 297, 737, 686?

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 240, 297, 737, 686.

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}.