Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5480/735, 7592/650 quickly i.e. 1040104 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5480/735, 7592/650 is 1040104.
LCM(5480/735, 7592/650) = 1040104
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5480/735,7592/650
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 5480,7592
Least Common Multiple of Numerators i.e. LCM of 5480,7592 is 5200520.
GCF of Denominators means GCF of 735,650 as per the given fractions.
GCF of 735,650 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5480,7592
2 | 5480, 7592 |
2 | 2740, 3796 |
2 | 1370, 1898 |
685, 949 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 685 x 949 = 5200520
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 5480,7592 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5480,7592) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(5480,7592) x common factors =8 x 1 = 8
LCM(5480,7592) = ( 5480 × 7592 ) / 8
LCM(5480,7592) = 41604160 / 8
LCM(5480,7592) = 5200520
Lets's calculate GCF of 735,650
5 | 735, 650 |
147, 130 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5200520/5
Therefore the LCM of Fractions 5480/735,7592/650 is 1040104
Factors of 735
List of positive integer factors of 735 that divides 735 without a remainder.
1,3,5,7,15,21,35,49,105,147,245,735
Factors of 650
List of positive integer factors of 650 that divides 650 without a remainder.
1,2,5,10,13,25,26,50,65,130,325,650
Greatest Common Factor
We found the factors 735,650 . The biggest common factor number is the GCF number.
So the greatest common factor 735,650 is 5.
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 5480/735, 7592/650?
Answer: LCM of Numerators as per given numbers 5480/735, 7592/650 is
LCM of Numerators i.e. for 5480,7592 is 5200520
GCF of denominators i.e. for 735,650 is 5.
Thus, LCM of Fractions is 1040104.Finally, LCM of Fractions for 5480/735, 7592/650 is 1040104.