Given numbers are 960,821,814,378

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

The LCM of 960,821,814,378 is 20209210560.

Find LCM of 960,821,814,378 with Prime Factorization

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

2 x 3 x 160 x 821 x 407 x 63 = 20209210560

Therefore, the lowest common multiple of 960,821,814,378 is 20209210560.

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.

960 x 821 x 814 x 378 = 242510526720

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.

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

821 : 1, 821

814 : 1, 2, 11, 22, 37, 74, 407, 814

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 960,821,814,378, is 1.

Now, the common factors can be found like this.

960:2x 2x 2x 2x 2x 2x 3x 5

821:821

814:2x 11x 37

378:2x 3x 3x 3x 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 3 = 12

Therefore, the value for common factors is 12.

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 = 242510526720/(1x12)

LCM = 242510526720/12

LCM = 20209210560

Thus, we can understand that the LCM of 960,821,814,378 is 20209210560.

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

• LCM of 460, 254, 966, 388
• LCM of 164, 746, 185, 213
• LCM of 119, 730, 785, 254
• LCM of 567, 294, 683, 398
• LCM of 595, 880, 456, 674

1. What is the LCM of 960, 821, 814, 378?

Answer: LCM of 960, 821, 814, 378 is 20209210560.

2. How to calculate the LCM of 960, 821, 814, 378?

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 960, 821, 814, 378.

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}.