LCM of 113, 918, 223, 669, 656
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 113, 918, 223, 669, 656 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 113, 918, 223, 669, 656. So, keep reading to learn more.
Given numbers are 113,918,223,669,656
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 113,918,223,669,656 is 7587519696.
Find LCM of 113,918,223,669,656 with Prime Factorization
| 2 | 113, 918, 223, 669, 656 |
| 3 | 113, 459, 223, 669, 328 |
| 223 | 113, 153, 223, 223, 328 |
| 113, 153, 1, 1, 328 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 223 x 113 x 153 x 1 x 1 x 328 = 7587519696
Therefore, the lowest common multiple of 113,918,223,669,656 is 7587519696.
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.
113 x 918 x 223 x 669 x 656 = 10152101353248
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.
113 : 1, 113
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
223 : 1, 223
669 : 1, 3, 223, 669
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 113,918,223,669,656, is 1.
Now, the common factors can be found like this.
113:113
918:2x 3x 3x 3x 17
223:223
669:3x 223
656:2x 2x 2x 2x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 223 = 1338
Therefore, the value for common factors is 1338.
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 = 10152101353248/(1x1338)
LCM = 10152101353248/1338
LCM = 7587519696
Thus, we can understand that the LCM of 113,918,223,669,656 is 7587519696.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 113, 918, 223, 669, 656
1. What is the LCM of 113, 918, 223, 669, 656?
Answer: LCM of 113, 918, 223, 669, 656 is 7587519696.
2. How to calculate the LCM of 113, 918, 223, 669, 656?
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 113, 918, 223, 669, 656.
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}.