LCM of 138, 821, 689, 118, 744
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 138, 821, 689, 118, 744 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 138, 821, 689, 118, 744. So, keep reading to learn more.
Given numbers are 138,821,689,118,744
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 138,821,689,118,744 is 571103947752.
Find LCM of 138,821,689,118,744 with Prime Factorization
| 2 | 138, 821, 689, 118, 744 |
| 3 | 69, 821, 689, 59, 372 |
| 23, 821, 689, 59, 124 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 821 x 689 x 59 x 124 = 571103947752
Therefore, the lowest common multiple of 138,821,689,118,744 is 571103947752.
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.
138 x 821 x 689 x 118 x 744 = 6853247373024
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.
138 : 1, 2, 3, 6, 23, 46, 69, 138
821 : 1, 821
689 : 1, 13, 53, 689
118 : 1, 2, 59, 118
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,821,689,118,744, is 1.
Now, the common factors can be found like this.
138:2x 3x 23
821:821
689:13x 53
118:2x 59
744:2x 2x 2x 3x 31
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 3 = 12
Therefore, the value for common factors is 12.
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 = 6853247373024/(1x12)
LCM = 6853247373024/12
LCM = 571103947752
Thus, we can understand that the LCM of 138,821,689,118,744 is 571103947752.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 138, 821, 689, 118, 744
1. What is the LCM of 138, 821, 689, 118, 744?
Answer: LCM of 138, 821, 689, 118, 744 is 571103947752.
2. How to calculate the LCM of 138, 821, 689, 118, 744?
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 138, 821, 689, 118, 744.
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}.