Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 770/98, 616/4466 quickly i.e. 220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 770/98, 616/4466 is 220.
LCM(770/98, 616/4466) = 220
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 770/98,616/4466
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 770,616
Least Common Multiple of Numerators i.e. LCM of 770,616 is 3080.
GCF of Denominators means GCF of 98,4466 as per the given fractions.
GCF of 98,4466 is 14 as it is the largest common factor for these numbers.
Lets's calculate LCM of 770,616
2 | 770, 616 |
7 | 385, 308 |
11 | 55, 44 |
5, 4 |
∴ So the LCM of the given numbers is 2 x 7 x 11 x 5 x 4 = 3080
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 770,616 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(770,616) = 154
common factors(in case of two or more numbers have common factors) = 1
GCF(770,616) x common factors =154 x 1 = 154
LCM(770,616) = ( 770 × 616 ) / 154
LCM(770,616) = 474320 / 154
LCM(770,616) = 3080
Lets's calculate GCF of 98,4466
2 | 98, 4466 |
7 | 49, 2233 |
7, 319 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3080/14
Therefore the LCM of Fractions 770/98,616/4466 is 220
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 4466
List of positive integer factors of 4466 that divides 4466 without a remainder.
1,2,7,11,14,22,29,58,77,154,203,319,406,638,2233,4466
Greatest Common Factor
We found the factors 98,4466 . The biggest common factor number is the GCF number.
So the greatest common factor 98,4466 is 14.
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 770/98, 616/4466?
Answer: LCM of Numerators as per given numbers 770/98, 616/4466 is
LCM of Numerators i.e. for 770,616 is 3080
GCF of denominators i.e. for 98,4466 is 14.
Thus, LCM of Fractions is 220.Finally, LCM of Fractions for 770/98, 616/4466 is 220.