Given numbers are 400,252,237,684,492

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

The LCM of 400,252,237,684,492 is 1550833200.

Find LCM of 400,252,237,684,492 with Prime Factorization

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

2 x 2 x 3 x 3 x 100 x 7 x 79 x 19 x 41 = 1550833200

Therefore, the lowest common multiple of 400,252,237,684,492 is 1550833200.

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.

400 x 252 x 237 x 684 x 492 = 8039519308800

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.

400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

237 : 1, 3, 79, 237

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

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 400,252,237,684,492, is 1.

Now, the common factors can be found like this.

400:2x 2x 2x 2x 5x 5

252:2x 2x 3x 3x 7

237:3x 79

684:2x 2x 3x 3x 19

492:2x 2x 3x 41

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 3x 3x 3x 3 = 5184

Therefore, the value for common factors is 5184.

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 = 8039519308800/(1x5184)

LCM = 8039519308800/5184

LCM = 1550833200

Thus, we can understand that the LCM of 400,252,237,684,492 is 1550833200.

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

• LCM of 482, 353, 751, 479, 272
• LCM of 503, 595, 831, 522, 154
• LCM of 399, 456, 716, 422, 553
• LCM of 967, 789, 578, 480, 613
• LCM of 949, 150, 528, 709, 660

1. What is the LCM of 400, 252, 237, 684, 492?

Answer: LCM of 400, 252, 237, 684, 492 is 1550833200.

2. How to calculate the LCM of 400, 252, 237, 684, 492?

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 400, 252, 237, 684, 492.

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}.