Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 244/224, 120/980, 368/119 quickly i.e. 336720/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 244/224, 120/980, 368/119 is 336720/7.
LCM(244/224, 120/980, 368/119) = 336720/7
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 244/224,120/980,368/119
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 244,120,368
Least Common Multiple of Numerators i.e. LCM of 244,120,368 is 336720.
GCF of Denominators means GCF of 224,980,119 as per the given fractions.
GCF of 224,980,119 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 244,120,368
2 | 244, 120, 368 |
2 | 122, 60, 184 |
2 | 61, 30, 92 |
61, 15, 46 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 61 x 15 x 46 = 336720
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 244,120,368 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(244,120,368) = 4
common factors(in case of two or more numbers have common factors) = 8
GCF(244,120,368) x common factors =4 x 8 = 32
LCM(244,120,368) = ( 244 × 120 × 368 ) / 32
LCM(244,120,368) = 10775040 / 32
LCM(244,120,368) = 336720
Lets's calculate GCF of 224,980,119
7 | 224, 980, 119 |
32, 140, 17 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 336720/7
Therefore the LCM of Fractions 244/224,120/980,368/119 is 336720/7
Factors of 224
List of positive integer factors of 224 that divides 224 without a remainder.
1,2,4,7,8,14,16,28,32,56,112,224
Factors of 980
List of positive integer factors of 980 that divides 980 without a remainder.
1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980
Factors of 119
List of positive integer factors of 119 that divides 119 without a remainder.
1,7,17,119
Greatest Common Factor
We found the factors 224,980,119 . The biggest common factor number is the GCF number.
So the greatest common factor 224,980,119 is 7.
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 244/224, 120/980, 368/119?
Answer: LCM of Numerators as per given numbers 244/224, 120/980, 368/119 is
LCM of Numerators i.e. for 244,120,368 is 336720
GCF of denominators i.e. for 224,980,119 is 7.
Thus, LCM of Fractions is 336720/7.Finally, LCM of Fractions for 244/224, 120/980, 368/119 is 336720/7.