Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6/22, 6/53, 47/77, 70/640 quickly i.e. 9870 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6/22, 6/53, 47/77, 70/640 is 9870.
LCM(6/22, 6/53, 47/77, 70/640) = 9870
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6/22,6/53,47/77,70/640
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 6,6,47,70
Least Common Multiple of Numerators i.e. LCM of 6,6,47,70 is 9870.
GCF of Denominators means GCF of 22,53,77,640 as per the given fractions.
GCF of 22,53,77,640 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6,6,47,70
2 | 6, 6, 47, 70 |
3 | 3, 3, 47, 35 |
1, 1, 47, 35 |
∴ So the LCM of the given numbers is 2 x 3 x 1 x 1 x 47 x 35 = 9870
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 6,6,47,70 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6,6,47,70) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(6,6,47,70) x common factors =1 x 12 = 12
LCM(6,6,47,70) = ( 6 × 6 × 47 × 70 ) / 12
LCM(6,6,47,70) = 118440 / 12
LCM(6,6,47,70) = 9870
Lets's calculate GCF of 22,53,77,640
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9870/1
Therefore the LCM of Fractions 6/22,6/53,47/77,70/640 is 9870
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 53
List of positive integer factors of 53 that divides 53 without a remainder.
1,53
Factors of 77
List of positive integer factors of 77 that divides 77 without a remainder.
1,7,11,77
Factors of 640
List of positive integer factors of 640 that divides 640 without a remainder.
1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640
Greatest Common Factor
We found the factors 22,53,77,640 . The biggest common factor number is the GCF number.
So the greatest common factor 22,53,77,640 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 6/22, 6/53, 47/77, 70/640?
Answer: LCM of Numerators as per given numbers 6/22, 6/53, 47/77, 70/640 is
LCM of Numerators i.e. for 6,6,47,70 is 9870
GCF of denominators i.e. for 22,53,77,640 is 1.
Thus, LCM of Fractions is 9870.Finally, LCM of Fractions for 6/22, 6/53, 47/77, 70/640 is 9870.