Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 87/862, 47/156, 248/632 quickly i.e. 507036 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 87/862, 47/156, 248/632 is 507036.
LCM(87/862, 47/156, 248/632) = 507036
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 87/862,47/156,248/632
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 87,47,248
Least Common Multiple of Numerators i.e. LCM of 87,47,248 is 1014072.
GCF of Denominators means GCF of 862,156,632 as per the given fractions.
GCF of 862,156,632 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 87,47,248
Given numbers has no common factors except 1. So, there LCM is their product i.e 1014072
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 87,47,248 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,47,248) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(87,47,248) x common factors =1 x 1 = 1
LCM(87,47,248) = ( 87 × 47 × 248 ) / 1
LCM(87,47,248) = 1014072 / 1
LCM(87,47,248) = 1014072
Lets's calculate GCF of 862,156,632
2 | 862, 156, 632 |
431, 78, 316 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1014072/2
Therefore the LCM of Fractions 87/862,47/156,248/632 is 507036
Factors of 862
List of positive integer factors of 862 that divides 862 without a remainder.
1,2,431,862
Factors of 156
List of positive integer factors of 156 that divides 156 without a remainder.
1,2,3,4,6,12,13,26,39,52,78,156
Factors of 632
List of positive integer factors of 632 that divides 632 without a remainder.
1,2,4,8,79,158,316,632
Greatest Common Factor
We found the factors 862,156,632 . The biggest common factor number is the GCF number.
So the greatest common factor 862,156,632 is 2.
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 87/862, 47/156, 248/632?
Answer: LCM of Numerators as per given numbers 87/862, 47/156, 248/632 is
LCM of Numerators i.e. for 87,47,248 is 1014072
GCF of denominators i.e. for 862,156,632 is 2.
Thus, LCM of Fractions is 507036.Finally, LCM of Fractions for 87/862, 47/156, 248/632 is 507036.