Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1919/976, 2026/552 quickly i.e. 3887894/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1919/976, 2026/552 is 3887894/8.
LCM(1919/976, 2026/552) = 3887894/8
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1919/976,2026/552
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 1919,2026
Least Common Multiple of Numerators i.e. LCM of 1919,2026 is 3887894.
GCF of Denominators means GCF of 976,552 as per the given fractions.
GCF of 976,552 is 8 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1919,2026
Given numbers has no common factors except 1. So, there LCM is their product i.e 3887894
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 1919,2026 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1919,2026) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1919,2026) x common factors =1 x 1 = 1
LCM(1919,2026) = ( 1919 × 2026 ) / 1
LCM(1919,2026) = 3887894 / 1
LCM(1919,2026) = 3887894
Lets's calculate GCF of 976,552
2 | 976, 552 |
2 | 488, 276 |
2 | 244, 138 |
122, 69 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3887894/8
Therefore the LCM of Fractions 1919/976,2026/552 is 3887894/8
Factors of 976
List of positive integer factors of 976 that divides 976 without a remainder.
1,2,4,8,16,61,122,244,488,976
Factors of 552
List of positive integer factors of 552 that divides 552 without a remainder.
1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552
Greatest Common Factor
We found the factors 976,552 . The biggest common factor number is the GCF number.
So the greatest common factor 976,552 is 8.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 1919/976, 2026/552?
Answer: LCM of Numerators as per given numbers 1919/976, 2026/552 is
LCM of Numerators i.e. for 1919,2026 is 3887894
GCF of denominators i.e. for 976,552 is 8.
Thus, LCM of Fractions is 3887894/8.Finally, LCM of Fractions for 1919/976, 2026/552 is 3887894/8.