Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 70/248, 34/496, 976/914 quickly i.e. 290360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 70/248, 34/496, 976/914 is 290360.
LCM(70/248, 34/496, 976/914) = 290360
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 70/248,34/496,976/914
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 70,34,976
Least Common Multiple of Numerators i.e. LCM of 70,34,976 is 580720.
GCF of Denominators means GCF of 248,496,914 as per the given fractions.
GCF of 248,496,914 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 70,34,976
2 | 70, 34, 976 |
35, 17, 488 |
∴ So the LCM of the given numbers is 2 x 35 x 17 x 488 = 580720
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 70,34,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,34,976) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(70,34,976) x common factors =2 x 2 = 4
LCM(70,34,976) = ( 70 × 34 × 976 ) / 4
LCM(70,34,976) = 2322880 / 4
LCM(70,34,976) = 580720
Lets's calculate GCF of 248,496,914
2 | 248, 496, 914 |
124, 248, 457 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 580720/2
Therefore the LCM of Fractions 70/248,34/496,976/914 is 290360
Factors of 248
List of positive integer factors of 248 that divides 248 without a remainder.
1,2,4,8,31,62,124,248
Factors of 496
List of positive integer factors of 496 that divides 496 without a remainder.
1,2,4,8,16,31,62,124,248,496
Factors of 914
List of positive integer factors of 914 that divides 914 without a remainder.
1,2,457,914
Greatest Common Factor
We found the factors 248,496,914 . The biggest common factor number is the GCF number.
So the greatest common factor 248,496,914 is 2.
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 70/248, 34/496, 976/914?
Answer: LCM of Numerators as per given numbers 70/248, 34/496, 976/914 is
LCM of Numerators i.e. for 70,34,976 is 580720
GCF of denominators i.e. for 248,496,914 is 2.
Thus, LCM of Fractions is 290360.Finally, LCM of Fractions for 70/248, 34/496, 976/914 is 290360.