Given numbers are 400,212,349,420,945

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

The LCM of 400,212,349,420,945 is 1398373200.

Find LCM of 400,212,349,420,945 with Prime Factorization

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

2 x 2 x 3 x 5 x 7 x 20 x 53 x 349 x 1 x 9 = 1398373200

Therefore, the lowest common multiple of 400,212,349,420,945 is 1398373200.

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 212 x 349 x 420 x 945 = 11746334880000

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

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

349 : 1, 349

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 400,212,349,420,945, is 1.

Now, the common factors can be found like this.

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

212:2x 2x 53

349:349

420:2x 2x 3x 5x 7

945:3x 3x 3x 5x 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 2x 2x 2x 3x 5x 5x 7 = 8400

Therefore, the value for common factors is 8400.

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 = 11746334880000/(1x8400)

LCM = 11746334880000/8400

LCM = 1398373200

Thus, we can understand that the LCM of 400,212,349,420,945 is 1398373200.

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

• LCM of 685, 904, 293, 679, 280
• LCM of 166, 908, 431, 333, 748
• LCM of 174, 456, 535, 276, 260
• LCM of 902, 936, 919, 467, 677
• LCM of 754, 429, 501, 113, 196

1. What is the LCM of 400, 212, 349, 420, 945?

Answer: LCM of 400, 212, 349, 420, 945 is 1398373200.

2. How to calculate the LCM of 400, 212, 349, 420, 945?

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, 212, 349, 420, 945.

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}.