Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 89/358, 3782/2778 quickly i.e. 168299 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 89/358, 3782/2778 is 168299.
LCM(89/358, 3782/2778) = 168299
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 89/358,3782/2778
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 89,3782
Least Common Multiple of Numerators i.e. LCM of 89,3782 is 336598.
GCF of Denominators means GCF of 358,2778 as per the given fractions.
GCF of 358,2778 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 89,3782
Given numbers has no common factors except 1. So, there LCM is their product i.e 336598
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 89,3782 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,3782) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(89,3782) x common factors =1 x 1 = 1
LCM(89,3782) = ( 89 × 3782 ) / 1
LCM(89,3782) = 336598 / 1
LCM(89,3782) = 336598
Lets's calculate GCF of 358,2778
2 | 358, 2778 |
179, 1389 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 336598/2
Therefore the LCM of Fractions 89/358,3782/2778 is 168299
Factors of 358
List of positive integer factors of 358 that divides 358 without a remainder.
1,2,179,358
Factors of 2778
List of positive integer factors of 2778 that divides 2778 without a remainder.
1,2,3,6,463,926,1389,2778
Greatest Common Factor
We found the factors 358,2778 . The biggest common factor number is the GCF number.
So the greatest common factor 358,2778 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 89/358, 3782/2778?
Answer: LCM of Numerators as per given numbers 89/358, 3782/2778 is
LCM of Numerators i.e. for 89,3782 is 336598
GCF of denominators i.e. for 358,2778 is 2.
Thus, LCM of Fractions is 168299.Finally, LCM of Fractions for 89/358, 3782/2778 is 168299.