Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6770/696, 5470/2538 quickly i.e. 3703190/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6770/696, 5470/2538 is 3703190/6.
LCM(6770/696, 5470/2538) = 3703190/6
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6770/696,5470/2538
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 6770,5470
Least Common Multiple of Numerators i.e. LCM of 6770,5470 is 3703190.
GCF of Denominators means GCF of 696,2538 as per the given fractions.
GCF of 696,2538 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6770,5470
2 | 6770, 5470 |
5 | 3385, 2735 |
677, 547 |
∴ So the LCM of the given numbers is 2 x 5 x 677 x 547 = 3703190
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 6770,5470 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6770,5470) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(6770,5470) x common factors =10 x 1 = 10
LCM(6770,5470) = ( 6770 × 5470 ) / 10
LCM(6770,5470) = 37031900 / 10
LCM(6770,5470) = 3703190
Lets's calculate GCF of 696,2538
2 | 696, 2538 |
3 | 348, 1269 |
116, 423 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3703190/6
Therefore the LCM of Fractions 6770/696,5470/2538 is 3703190/6
Factors of 696
List of positive integer factors of 696 that divides 696 without a remainder.
1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696
Factors of 2538
List of positive integer factors of 2538 that divides 2538 without a remainder.
1,2,3,6,9,18,27,47,54,94,141,282,423,846,1269,2538
Greatest Common Factor
We found the factors 696,2538 . The biggest common factor number is the GCF number.
So the greatest common factor 696,2538 is 6.
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 6770/696, 5470/2538?
Answer: LCM of Numerators as per given numbers 6770/696, 5470/2538 is
LCM of Numerators i.e. for 6770,5470 is 3703190
GCF of denominators i.e. for 696,2538 is 6.
Thus, LCM of Fractions is 3703190/6.Finally, LCM of Fractions for 6770/696, 5470/2538 is 3703190/6.