Given numbers are 941,378,420,812

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

The LCM of 941,378,420,812 is 103152420.

Find LCM of 941,378,420,812 with Prime Factorization

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

2 x 2 x 3 x 7 x 941 x 9 x 5 x 29 = 103152420

Therefore, the lowest common multiple of 941,378,420,812 is 103152420.

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.

941 x 378 x 420 x 812 = 121307245920

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.

941 : 1, 941

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

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

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 941,378,420,812, is 1.

Now, the common factors can be found like this.

941:941

378:2x 3x 3x 3x 7

420:2x 2x 3x 5x 7

812:2x 2x 7x 29

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 3x 7x 7 = 1176

Therefore, the value for common factors is 1176.

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 = 121307245920/(1x1176)

LCM = 121307245920/1176

LCM = 103152420

Thus, we can understand that the LCM of 941,378,420,812 is 103152420.

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

• LCM of 785, 945, 500, 665
• LCM of 590, 532, 745, 163
• LCM of 996, 224, 593, 721
• LCM of 957, 297, 609, 209
• LCM of 581, 797, 168, 455

1. What is the LCM of 941, 378, 420, 812?

Answer: LCM of 941, 378, 420, 812 is 103152420.

2. How to calculate the LCM of 941, 378, 420, 812?

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 941, 378, 420, 812.

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}.