Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 692/854, 110/164, 690/681 quickly i.e. 2626140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 692/854, 110/164, 690/681 is 2626140.
LCM(692/854, 110/164, 690/681) = 2626140
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 692/854,110/164,690/681
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 692,110,690
Least Common Multiple of Numerators i.e. LCM of 692,110,690 is 2626140.
GCF of Denominators means GCF of 854,164,681 as per the given fractions.
GCF of 854,164,681 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 692,110,690
2 | 692, 110, 690 |
5 | 346, 55, 345 |
346, 11, 69 |
∴ So the LCM of the given numbers is 2 x 5 x 346 x 11 x 69 = 2626140
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 692,110,690 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(692,110,690) = 2
common factors(in case of two or more numbers have common factors) = 10
GCF(692,110,690) x common factors =2 x 10 = 20
LCM(692,110,690) = ( 692 × 110 × 690 ) / 20
LCM(692,110,690) = 52522800 / 20
LCM(692,110,690) = 2626140
Lets's calculate GCF of 854,164,681
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2626140/1
Therefore the LCM of Fractions 692/854,110/164,690/681 is 2626140
Factors of 854
List of positive integer factors of 854 that divides 854 without a remainder.
1,2,7,14,61,122,427,854
Factors of 164
List of positive integer factors of 164 that divides 164 without a remainder.
1,2,4,41,82,164
Factors of 681
List of positive integer factors of 681 that divides 681 without a remainder.
1,3,227,681
Greatest Common Factor
We found the factors 854,164,681 . The biggest common factor number is the GCF number.
So the greatest common factor 854,164,681 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 692/854, 110/164, 690/681?
Answer: LCM of Numerators as per given numbers 692/854, 110/164, 690/681 is
LCM of Numerators i.e. for 692,110,690 is 2626140
GCF of denominators i.e. for 854,164,681 is 1.
Thus, LCM of Fractions is 2626140.Finally, LCM of Fractions for 692/854, 110/164, 690/681 is 2626140.