Given numbers are 821,674,111,978

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

The LCM of 821,674,111,978 is 10011833922.

Find LCM of 821,674,111,978 with Prime Factorization

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

2 x 3 x 821 x 337 x 37 x 163 = 10011833922

Therefore, the lowest common multiple of 821,674,111,978 is 10011833922.

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.

821 x 674 x 111 x 978 = 60071003532

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.

821 : 1, 821

674 : 1, 2, 337, 674

111 : 1, 3, 37, 111

978 : 1, 2, 3, 6, 163, 326, 489, 978

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 821,674,111,978, is 1.

Now, the common factors can be found like this.

821:821

674:2x 337

111:3x 37

978:2x 3x 163

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 60071003532/(1x6)

LCM = 60071003532/6

LCM = 10011833922

Thus, we can understand that the LCM of 821,674,111,978 is 10011833922.

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

• LCM of 515, 579, 734, 938
• LCM of 670, 914, 952, 571
• LCM of 959, 842, 206, 917
• LCM of 500, 685, 825, 679
• LCM of 179, 300, 923, 813

1. What is the LCM of 821, 674, 111, 978?

Answer: LCM of 821, 674, 111, 978 is 10011833922.

2. How to calculate the LCM of 821, 674, 111, 978?

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 821, 674, 111, 978.

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}.