Given numbers are 684,720,924,303,138

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

The LCM of 684,720,924,303,138 is 2446955280.

Find LCM of 684,720,924,303,138 with Prime Factorization

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

2 x 2 x 3 x 3 x 19 x 20 x 77 x 101 x 23 = 2446955280

Therefore, the lowest common multiple of 684,720,924,303,138 is 2446955280.

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.

684 x 720 x 924 x 303 x 138 = 19027524257280

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.

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

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

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

303 : 1, 3, 101, 303

138 : 1, 2, 3, 6, 23, 46, 69, 138

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,720,924,303,138, is 3.

Now, the common factors can be found like this.

684:2x 2x 3x 3x 19

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

924:2x 2x 3x 7x 11

303:3x 101

138:2x 3x 23

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 3x 3 = 2592

Therefore, the value for common factors is 2592.

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 = 19027524257280/(3x2592)

LCM = 19027524257280/7776

LCM = 2446955280

Thus, we can understand that the LCM of 684,720,924,303,138 is 2446955280.

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

• LCM of 892, 904, 983, 885, 111
• LCM of 571, 598, 320, 494, 118
• LCM of 142, 900, 376, 401, 638
• LCM of 832, 346, 303, 766, 553
• LCM of 300, 883, 125, 698, 331

1. What is the LCM of 684, 720, 924, 303, 138?

Answer: LCM of 684, 720, 924, 303, 138 is 2446955280.

2. How to calculate the LCM of 684, 720, 924, 303, 138?

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 684, 720, 924, 303, 138.

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}.