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LCM of 767, 891, 220, 123

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 767, 891, 220, 123 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 767, 891, 220, 123. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 767,891,220,123

Given numbers are 767,891,220,123

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

The LCM of 767,891,220,123 is 560385540.

Find LCM of 767,891,220,123 with Prime Factorization


3 767, 891, 220, 123
11 767, 297, 220, 41
767, 27, 20, 41

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

3 x 11 x 767 x 27 x 20 x 41 = 560385540

Therefore, the lowest common multiple of 767,891,220,123 is 560385540.

LCM Formula to Find Lowest Common Multiple of 767,891,220,123

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.

767 x 891 x 220 x 123 = 18492722820

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.

767 : 1, 13, 59, 767

891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

123 : 1, 3, 41, 123

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 767,891,220,123, is 1.

Now, the common factors can be found like this.

767:13x 59

891:3x 3x 3x 3x 11

220:2x 2x 5x 11

123:3x 41

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

3x 11 = 33

Therefore, the value for common factors is 33.

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 = 18492722820/(1x33)

LCM = 18492722820/33

LCM = 560385540

Thus, we can understand that the LCM of 767,891,220,123 is 560385540.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 767, 891, 220, 123

1. What is the LCM of 767, 891, 220, 123?

Answer: LCM of 767, 891, 220, 123 is 560385540.

2. How to calculate the LCM of 767, 891, 220, 123?

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 767, 891, 220, 123.

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}.