Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2000/770, 5640/220 quickly i.e. 282000/110 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2000/770, 5640/220 is 282000/110.
LCM(2000/770, 5640/220) = 282000/110
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2000/770,5640/220
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 2000,5640
Least Common Multiple of Numerators i.e. LCM of 2000,5640 is 282000.
GCF of Denominators means GCF of 770,220 as per the given fractions.
GCF of 770,220 is 110 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2000,5640
2 | 2000, 5640 |
2 | 1000, 2820 |
2 | 500, 1410 |
5 | 250, 705 |
50, 141 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 50 x 141 = 282000
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 2000,5640 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2000,5640) = 40
common factors(in case of two or more numbers have common factors) = 1
GCF(2000,5640) x common factors =40 x 1 = 40
LCM(2000,5640) = ( 2000 × 5640 ) / 40
LCM(2000,5640) = 11280000 / 40
LCM(2000,5640) = 282000
Lets's calculate GCF of 770,220
2 | 770, 220 |
5 | 385, 110 |
11 | 77, 22 |
7, 2 |
∴ So the GCF of the given numbers is 2 x 5 x 11 = 110
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 282000/110
Therefore the LCM of Fractions 2000/770,5640/220 is 282000/110
Factors of 770
List of positive integer factors of 770 that divides 770 without a remainder.
1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770
Factors of 220
List of positive integer factors of 220 that divides 220 without a remainder.
1,2,4,5,10,11,20,22,44,55,110,220
Greatest Common Factor
We found the factors 770,220 . The biggest common factor number is the GCF number.
So the greatest common factor 770,220 is 110.
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 2000/770, 5640/220?
Answer: LCM of Numerators as per given numbers 2000/770, 5640/220 is
LCM of Numerators i.e. for 2000,5640 is 282000
GCF of denominators i.e. for 770,220 is 110.
Thus, LCM of Fractions is 282000/110.Finally, LCM of Fractions for 2000/770, 5640/220 is 282000/110.