Given numbers are 744,823,823,878

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

The LCM of 744,823,823,878 is 268804968.

Find LCM of 744,823,823,878 with Prime Factorization

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

2 x 823 x 372 x 1 x 1 x 439 = 268804968

Therefore, the lowest common multiple of 744,823,823,878 is 268804968.

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.

744 x 823 x 823 x 878 = 442452977328

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.

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

823 : 1, 823

823 : 1, 823

878 : 1, 2, 439, 878

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 744,823,823,878, is 1.

Now, the common factors can be found like this.

744:2x 2x 2x 3x 31

823:823

823:823

878:2x 439

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 823 = 1646

Therefore, the value for common factors is 1646.

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 = 442452977328/(1x1646)

LCM = 442452977328/1646

LCM = 268804968

Thus, we can understand that the LCM of 744,823,823,878 is 268804968.

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

• LCM of 316, 493, 800, 787
• LCM of 700, 540, 453, 574
• LCM of 184, 254, 515, 594
• LCM of 931, 429, 358, 140
• LCM of 478, 427, 201, 157

1. What is the LCM of 744, 823, 823, 878?

Answer: LCM of 744, 823, 823, 878 is 268804968.

2. How to calculate the LCM of 744, 823, 823, 878?

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 744, 823, 823, 878.

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}.