Given numbers are 450,680,292,137,684

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

The LCM of 450,680,292,137,684 is 5814581400.

Find LCM of 450,680,292,137,684 with Prime Factorization

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

2 x 2 x 3 x 3 x 5 x 5 x 34 x 73 x 137 x 19 = 5814581400

Therefore, the lowest common multiple of 450,680,292,137,684 is 5814581400.

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.

450 x 680 x 292 x 137 x 684 = 8372997216000

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.

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

292 : 1, 2, 4, 73, 146, 292

137 : 1, 137

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 450,680,292,137,684, is 1.

Now, the common factors can be found like this.

450:2x 3x 3x 5x 5

680:2x 2x 2x 5x 17

292:2x 2x 73

137:137

684:2x 2x 3x 3x 19

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 3x 3x 5 = 1440

Therefore, the value for common factors is 1440.

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 = 8372997216000/(1x1440)

LCM = 8372997216000/1440

LCM = 5814581400

Thus, we can understand that the LCM of 450,680,292,137,684 is 5814581400.

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

• LCM of 195, 761, 230, 488, 791
• LCM of 180, 885, 399, 497, 354
• LCM of 761, 280, 334, 865, 793
• LCM of 975, 573, 171, 250, 135
• LCM of 491, 589, 487, 833, 515

1. What is the LCM of 450, 680, 292, 137, 684?

Answer: LCM of 450, 680, 292, 137, 684 is 5814581400.

2. How to calculate the LCM of 450, 680, 292, 137, 684?

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 450, 680, 292, 137, 684.

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}.