Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 87/77, 279/97, 952/371 quickly i.e. 7702632 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 87/77, 279/97, 952/371 is 7702632.
LCM(87/77, 279/97, 952/371) = 7702632
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 87/77,279/97,952/371
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 87,279,952
Least Common Multiple of Numerators i.e. LCM of 87,279,952 is 7702632.
GCF of Denominators means GCF of 77,97,371 as per the given fractions.
GCF of 77,97,371 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 87,279,952
3 | 87, 279, 952 |
29, 93, 952 |
∴ So the LCM of the given numbers is 3 x 29 x 93 x 952 = 7702632
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 87,279,952 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,279,952) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(87,279,952) x common factors =1 x 3 = 3
LCM(87,279,952) = ( 87 × 279 × 952 ) / 3
LCM(87,279,952) = 23107896 / 3
LCM(87,279,952) = 7702632
Lets's calculate GCF of 77,97,371
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7702632/1
Therefore the LCM of Fractions 87/77,279/97,952/371 is 7702632
Factors of 77
List of positive integer factors of 77 that divides 77 without a remainder.
1,7,11,77
Factors of 97
List of positive integer factors of 97 that divides 97 without a remainder.
1,97
Factors of 371
List of positive integer factors of 371 that divides 371 without a remainder.
1,7,53,371
Greatest Common Factor
We found the factors 77,97,371 . The biggest common factor number is the GCF number.
So the greatest common factor 77,97,371 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 87/77, 279/97, 952/371?
Answer: LCM of Numerators as per given numbers 87/77, 279/97, 952/371 is
LCM of Numerators i.e. for 87,279,952 is 7702632
GCF of denominators i.e. for 77,97,371 is 1.
Thus, LCM of Fractions is 7702632.Finally, LCM of Fractions for 87/77, 279/97, 952/371 is 7702632.