Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 55/147, 917/176, 770/722 quickly i.e. 100870 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 55/147, 917/176, 770/722 is 100870.
LCM(55/147, 917/176, 770/722) = 100870
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 55/147,917/176,770/722
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 55,917,770
Least Common Multiple of Numerators i.e. LCM of 55,917,770 is 100870.
GCF of Denominators means GCF of 147,176,722 as per the given fractions.
GCF of 147,176,722 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 55,917,770
5 | 55, 917, 770 |
7 | 11, 917, 154 |
11 | 11, 131, 22 |
1, 131, 2 |
∴ So the LCM of the given numbers is 5 x 7 x 11 x 1 x 131 x 2 = 100870
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 55,917,770 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,917,770) = 1
common factors(in case of two or more numbers have common factors) = 385
GCF(55,917,770) x common factors =1 x 385 = 385
LCM(55,917,770) = ( 55 × 917 × 770 ) / 385
LCM(55,917,770) = 38834950 / 385
LCM(55,917,770) = 100870
Lets's calculate GCF of 147,176,722
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 100870/1
Therefore the LCM of Fractions 55/147,917/176,770/722 is 100870
Factors of 147
List of positive integer factors of 147 that divides 147 without a remainder.
1,3,7,21,49,147
Factors of 176
List of positive integer factors of 176 that divides 176 without a remainder.
1,2,4,8,11,16,22,44,88,176
Factors of 722
List of positive integer factors of 722 that divides 722 without a remainder.
1,2,19,38,361,722
Greatest Common Factor
We found the factors 147,176,722 . The biggest common factor number is the GCF number.
So the greatest common factor 147,176,722 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 55/147, 917/176, 770/722?
Answer: LCM of Numerators as per given numbers 55/147, 917/176, 770/722 is
LCM of Numerators i.e. for 55,917,770 is 100870
GCF of denominators i.e. for 147,176,722 is 1.
Thus, LCM of Fractions is 100870.Finally, LCM of Fractions for 55/147, 917/176, 770/722 is 100870.