Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 92/214, 89/637, 340/489 quickly i.e. 695980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 92/214, 89/637, 340/489 is 695980.
LCM(92/214, 89/637, 340/489) = 695980
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 92/214,89/637,340/489
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 92,89,340
Least Common Multiple of Numerators i.e. LCM of 92,89,340 is 695980.
GCF of Denominators means GCF of 214,637,489 as per the given fractions.
GCF of 214,637,489 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 92,89,340
2 | 92, 89, 340 |
2 | 46, 89, 170 |
23, 89, 85 |
∴ So the LCM of the given numbers is 2 x 2 x 23 x 89 x 85 = 695980
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 92,89,340 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(92,89,340) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(92,89,340) x common factors =1 x 4 = 4
LCM(92,89,340) = ( 92 × 89 × 340 ) / 4
LCM(92,89,340) = 2783920 / 4
LCM(92,89,340) = 695980
Lets's calculate GCF of 214,637,489
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 695980/1
Therefore the LCM of Fractions 92/214,89/637,340/489 is 695980
Factors of 214
List of positive integer factors of 214 that divides 214 without a remainder.
1,2,107,214
Factors of 637
List of positive integer factors of 637 that divides 637 without a remainder.
1,7,13,49,91,637
Factors of 489
List of positive integer factors of 489 that divides 489 without a remainder.
1,3,163,489
Greatest Common Factor
We found the factors 214,637,489 . The biggest common factor number is the GCF number.
So the greatest common factor 214,637,489 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 92/214, 89/637, 340/489?
Answer: LCM of Numerators as per given numbers 92/214, 89/637, 340/489 is
LCM of Numerators i.e. for 92,89,340 is 695980
GCF of denominators i.e. for 214,637,489 is 1.
Thus, LCM of Fractions is 695980.Finally, LCM of Fractions for 92/214, 89/637, 340/489 is 695980.