Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 277/887, 622/655, 820/251 quickly i.e. 70640540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 277/887, 622/655, 820/251 is 70640540.
LCM(277/887, 622/655, 820/251) = 70640540
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 277/887,622/655,820/251
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 277,622,820
Least Common Multiple of Numerators i.e. LCM of 277,622,820 is 70640540.
GCF of Denominators means GCF of 887,655,251 as per the given fractions.
GCF of 887,655,251 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 277,622,820
2 | 277, 622, 820 |
277, 311, 410 |
∴ So the LCM of the given numbers is 2 x 277 x 311 x 410 = 70640540
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 277,622,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(277,622,820) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(277,622,820) x common factors =1 x 2 = 2
LCM(277,622,820) = ( 277 × 622 × 820 ) / 2
LCM(277,622,820) = 141281080 / 2
LCM(277,622,820) = 70640540
Lets's calculate GCF of 887,655,251
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70640540/1
Therefore the LCM of Fractions 277/887,622/655,820/251 is 70640540
Factors of 887
List of positive integer factors of 887 that divides 887 without a remainder.
1,887
Factors of 655
List of positive integer factors of 655 that divides 655 without a remainder.
1,5,131,655
Factors of 251
List of positive integer factors of 251 that divides 251 without a remainder.
1,251
Greatest Common Factor
We found the factors 887,655,251 . The biggest common factor number is the GCF number.
So the greatest common factor 887,655,251 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 277/887, 622/655, 820/251?
Answer: LCM of Numerators as per given numbers 277/887, 622/655, 820/251 is
LCM of Numerators i.e. for 277,622,820 is 70640540
GCF of denominators i.e. for 887,655,251 is 1.
Thus, LCM of Fractions is 70640540.Finally, LCM of Fractions for 277/887, 622/655, 820/251 is 70640540.