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LCM of 774, 469, 845, 125, 123

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


Find the LCM of 774, 469, 845, 125, 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 774, 469, 845, 125, 123. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 774,469,845,125,123

Given numbers are 774,469,845,125,123

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

The LCM of 774,469,845,125,123 is 314408571750.

Find LCM of 774,469,845,125,123 with Prime Factorization


3 774, 469, 845, 125, 123
5 258, 469, 845, 125, 41
258, 469, 169, 25, 41

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

3 x 5 x 258 x 469 x 169 x 25 x 41 = 314408571750

Therefore, the lowest common multiple of 774,469,845,125,123 is 314408571750.

LCM Formula to Find Lowest Common Multiple of 774,469,845,125,123

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.

774 x 469 x 845 x 125 x 123 = 4716128576250

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.

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

469 : 1, 7, 67, 469

845 : 1, 5, 13, 65, 169, 845

125 : 1, 5, 25, 125

123 : 1, 3, 41, 123

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 774,469,845,125,123, is 1.

Now, the common factors can be found like this.

774:2x 3x 3x 43

469:7x 67

845:5x 13x 13

125:5x 5x 5

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 5 = 15

Therefore, the value for common factors is 15.

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 = 4716128576250/(1x15)

LCM = 4716128576250/15

LCM = 314408571750

Thus, we can understand that the LCM of 774,469,845,125,123 is 314408571750.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 774, 469, 845, 125, 123

1. What is the LCM of 774, 469, 845, 125, 123?

Answer: LCM of 774, 469, 845, 125, 123 is 314408571750.

2. How to calculate the LCM of 774, 469, 845, 125, 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 774, 469, 845, 125, 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}.