Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 55/554, 64/496, 142/156 quickly i.e. 124960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 55/554, 64/496, 142/156 is 124960.
LCM(55/554, 64/496, 142/156) = 124960
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 55/554,64/496,142/156
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 55,64,142
Least Common Multiple of Numerators i.e. LCM of 55,64,142 is 249920.
GCF of Denominators means GCF of 554,496,156 as per the given fractions.
GCF of 554,496,156 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 55,64,142
2 | 55, 64, 142 |
55, 32, 71 |
∴ So the LCM of the given numbers is 2 x 55 x 32 x 71 = 249920
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 55,64,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,64,142) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(55,64,142) x common factors =1 x 2 = 2
LCM(55,64,142) = ( 55 × 64 × 142 ) / 2
LCM(55,64,142) = 499840 / 2
LCM(55,64,142) = 249920
Lets's calculate GCF of 554,496,156
2 | 554, 496, 156 |
277, 248, 78 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 249920/2
Therefore the LCM of Fractions 55/554,64/496,142/156 is 124960
Factors of 554
List of positive integer factors of 554 that divides 554 without a remainder.
1,2,277,554
Factors of 496
List of positive integer factors of 496 that divides 496 without a remainder.
1,2,4,8,16,31,62,124,248,496
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
Greatest Common Factor
We found the factors 554,496,156 . The biggest common factor number is the GCF number.
So the greatest common factor 554,496,156 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 55/554, 64/496, 142/156?
Answer: LCM of Numerators as per given numbers 55/554, 64/496, 142/156 is
LCM of Numerators i.e. for 55,64,142 is 249920
GCF of denominators i.e. for 554,496,156 is 2.
Thus, LCM of Fractions is 124960.Finally, LCM of Fractions for 55/554, 64/496, 142/156 is 124960.