Given numbers are 827,128,768,742

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

The LCM of 827,128,768,742 is 235635456.

Find LCM of 827,128,768,742 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 2 x 2 x 827 x 1 x 6 x 371 = 235635456

Therefore, the lowest common multiple of 827,128,768,742 is 235635456.

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.

827 x 128 x 768 x 742 = 60322676736

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.

827 : 1, 827

128 : 1, 2, 4, 8, 16, 32, 64, 128

768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

742 : 1, 2, 7, 14, 53, 106, 371, 742

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 827,128,768,742, is 1.

Now, the common factors can be found like this.

827:827

128:2x 2x 2x 2x 2x 2x 2

768:2x 2x 2x 2x 2x 2x 2x 2x 3

742:2x 7x 53

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 2x 2 = 256

Therefore, the value for common factors is 256.

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 = 60322676736/(1x256)

LCM = 60322676736/256

LCM = 235635456

Thus, we can understand that the LCM of 827,128,768,742 is 235635456.

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

• LCM of 210, 771, 403, 228
• LCM of 642, 354, 586, 157
• LCM of 983, 363, 511, 707
• LCM of 440, 550, 469, 994
• LCM of 897, 521, 202, 919

1. What is the LCM of 827, 128, 768, 742?

Answer: LCM of 827, 128, 768, 742 is 235635456.

2. How to calculate the LCM of 827, 128, 768, 742?

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 827, 128, 768, 742.

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}.