Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6152/624, 2028/940 quickly i.e. 779766 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6152/624, 2028/940 is 779766.
LCM(6152/624, 2028/940) = 779766
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6152/624,2028/940
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 6152,2028
Least Common Multiple of Numerators i.e. LCM of 6152,2028 is 3119064.
GCF of Denominators means GCF of 624,940 as per the given fractions.
GCF of 624,940 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6152,2028
2 | 6152, 2028 |
2 | 3076, 1014 |
1538, 507 |
∴ So the LCM of the given numbers is 2 x 2 x 1538 x 507 = 3119064
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 6152,2028 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6152,2028) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(6152,2028) x common factors =4 x 1 = 4
LCM(6152,2028) = ( 6152 × 2028 ) / 4
LCM(6152,2028) = 12476256 / 4
LCM(6152,2028) = 3119064
Lets's calculate GCF of 624,940
2 | 624, 940 |
2 | 312, 470 |
156, 235 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3119064/4
Therefore the LCM of Fractions 6152/624,2028/940 is 779766
Factors of 624
List of positive integer factors of 624 that divides 624 without a remainder.
1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624
Factors of 940
List of positive integer factors of 940 that divides 940 without a remainder.
1,2,4,5,10,20,47,94,188,235,470,940
Greatest Common Factor
We found the factors 624,940 . The biggest common factor number is the GCF number.
So the greatest common factor 624,940 is 4.
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 6152/624, 2028/940?
Answer: LCM of Numerators as per given numbers 6152/624, 2028/940 is
LCM of Numerators i.e. for 6152,2028 is 3119064
GCF of denominators i.e. for 624,940 is 4.
Thus, LCM of Fractions is 779766.Finally, LCM of Fractions for 6152/624, 2028/940 is 779766.