Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 28/736, 910/676, 988/611 quickly i.e. 34580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 28/736, 910/676, 988/611 is 34580.
LCM(28/736, 910/676, 988/611) = 34580
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 28/736,910/676,988/611
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 28,910,988
Least Common Multiple of Numerators i.e. LCM of 28,910,988 is 34580.
GCF of Denominators means GCF of 736,676,611 as per the given fractions.
GCF of 736,676,611 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 28,910,988
2 | 28, 910, 988 |
2 | 14, 455, 494 |
7 | 7, 455, 247 |
13 | 1, 65, 247 |
1, 5, 19 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 13 x 1 x 5 x 19 = 34580
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 28,910,988 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,910,988) = 2
common factors(in case of two or more numbers have common factors) = 364
GCF(28,910,988) x common factors =2 x 364 = 728
LCM(28,910,988) = ( 28 × 910 × 988 ) / 728
LCM(28,910,988) = 25174240 / 728
LCM(28,910,988) = 34580
Lets's calculate GCF of 736,676,611
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34580/1
Therefore the LCM of Fractions 28/736,910/676,988/611 is 34580
Factors of 736
List of positive integer factors of 736 that divides 736 without a remainder.
1,2,4,8,16,23,32,46,92,184,368,736
Factors of 676
List of positive integer factors of 676 that divides 676 without a remainder.
1,2,4,13,26,52,169,338,676
Factors of 611
List of positive integer factors of 611 that divides 611 without a remainder.
1,13,47,611
Greatest Common Factor
We found the factors 736,676,611 . The biggest common factor number is the GCF number.
So the greatest common factor 736,676,611 is 1.
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 28/736, 910/676, 988/611?
Answer: LCM of Numerators as per given numbers 28/736, 910/676, 988/611 is
LCM of Numerators i.e. for 28,910,988 is 34580
GCF of denominators i.e. for 736,676,611 is 1.
Thus, LCM of Fractions is 34580.Finally, LCM of Fractions for 28/736, 910/676, 988/611 is 34580.