Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 88/977, 770/95, 672/255 quickly i.e. 36960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 88/977, 770/95, 672/255 is 36960.
LCM(88/977, 770/95, 672/255) = 36960
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 88/977,770/95,672/255
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 88,770,672
Least Common Multiple of Numerators i.e. LCM of 88,770,672 is 36960.
GCF of Denominators means GCF of 977,95,255 as per the given fractions.
GCF of 977,95,255 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 88,770,672
2 | 88, 770, 672 |
2 | 44, 385, 336 |
2 | 22, 385, 168 |
7 | 11, 385, 84 |
11 | 11, 55, 12 |
1, 5, 12 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 11 x 1 x 5 x 12 = 36960
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 88,770,672 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,770,672) = 2
common factors(in case of two or more numbers have common factors) = 616
GCF(88,770,672) x common factors =2 x 616 = 1232
LCM(88,770,672) = ( 88 × 770 × 672 ) / 1232
LCM(88,770,672) = 45534720 / 1232
LCM(88,770,672) = 36960
Lets's calculate GCF of 977,95,255
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36960/1
Therefore the LCM of Fractions 88/977,770/95,672/255 is 36960
Factors of 977
List of positive integer factors of 977 that divides 977 without a remainder.
1,977
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 255
List of positive integer factors of 255 that divides 255 without a remainder.
1,3,5,15,17,51,85,255
Greatest Common Factor
We found the factors 977,95,255 . The biggest common factor number is the GCF number.
So the greatest common factor 977,95,255 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 88/977, 770/95, 672/255?
Answer: LCM of Numerators as per given numbers 88/977, 770/95, 672/255 is
LCM of Numerators i.e. for 88,770,672 is 36960
GCF of denominators i.e. for 977,95,255 is 1.
Thus, LCM of Fractions is 36960.Finally, LCM of Fractions for 88/977, 770/95, 672/255 is 36960.