Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 80/646, 361/884, 748/124 quickly i.e. 2700280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 80/646, 361/884, 748/124 is 2700280.
LCM(80/646, 361/884, 748/124) = 2700280
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 80/646,361/884,748/124
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 80,361,748
Least Common Multiple of Numerators i.e. LCM of 80,361,748 is 5400560.
GCF of Denominators means GCF of 646,884,124 as per the given fractions.
GCF of 646,884,124 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 80,361,748
2 | 80, 361, 748 |
2 | 40, 361, 374 |
20, 361, 187 |
∴ So the LCM of the given numbers is 2 x 2 x 20 x 361 x 187 = 5400560
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 80,361,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,361,748) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(80,361,748) x common factors =1 x 4 = 4
LCM(80,361,748) = ( 80 × 361 × 748 ) / 4
LCM(80,361,748) = 21602240 / 4
LCM(80,361,748) = 5400560
Lets's calculate GCF of 646,884,124
2 | 646, 884, 124 |
323, 442, 62 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5400560/2
Therefore the LCM of Fractions 80/646,361/884,748/124 is 2700280
Factors of 646
List of positive integer factors of 646 that divides 646 without a remainder.
1,2,17,19,34,38,323,646
Factors of 884
List of positive integer factors of 884 that divides 884 without a remainder.
1,2,4,13,17,26,34,52,68,221,442,884
Factors of 124
List of positive integer factors of 124 that divides 124 without a remainder.
1,2,4,31,62,124
Greatest Common Factor
We found the factors 646,884,124 . The biggest common factor number is the GCF number.
So the greatest common factor 646,884,124 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 80/646, 361/884, 748/124?
Answer: LCM of Numerators as per given numbers 80/646, 361/884, 748/124 is
LCM of Numerators i.e. for 80,361,748 is 5400560
GCF of denominators i.e. for 646,884,124 is 2.
Thus, LCM of Fractions is 2700280.Finally, LCM of Fractions for 80/646, 361/884, 748/124 is 2700280.