Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 428/137, 980/782, 169/372 quickly i.e. 17721340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 428/137, 980/782, 169/372 is 17721340.
LCM(428/137, 980/782, 169/372) = 17721340
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 428/137,980/782,169/372
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 428,980,169
Least Common Multiple of Numerators i.e. LCM of 428,980,169 is 17721340.
GCF of Denominators means GCF of 137,782,372 as per the given fractions.
GCF of 137,782,372 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 428,980,169
2 | 428, 980, 169 |
2 | 214, 490, 169 |
107, 245, 169 |
∴ So the LCM of the given numbers is 2 x 2 x 107 x 245 x 169 = 17721340
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 428,980,169 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(428,980,169) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(428,980,169) x common factors =1 x 4 = 4
LCM(428,980,169) = ( 428 × 980 × 169 ) / 4
LCM(428,980,169) = 70885360 / 4
LCM(428,980,169) = 17721340
Lets's calculate GCF of 137,782,372
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17721340/1
Therefore the LCM of Fractions 428/137,980/782,169/372 is 17721340
Factors of 137
List of positive integer factors of 137 that divides 137 without a remainder.
1,137
Factors of 782
List of positive integer factors of 782 that divides 782 without a remainder.
1,2,17,23,34,46,391,782
Factors of 372
List of positive integer factors of 372 that divides 372 without a remainder.
1,2,3,4,6,12,31,62,93,124,186,372
Greatest Common Factor
We found the factors 137,782,372 . The biggest common factor number is the GCF number.
So the greatest common factor 137,782,372 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 428/137, 980/782, 169/372?
Answer: LCM of Numerators as per given numbers 428/137, 980/782, 169/372 is
LCM of Numerators i.e. for 428,980,169 is 17721340
GCF of denominators i.e. for 137,782,372 is 1.
Thus, LCM of Fractions is 17721340.Finally, LCM of Fractions for 428/137, 980/782, 169/372 is 17721340.