Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 69/692, 13/341, 653/770 quickly i.e. 585741 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 69/692, 13/341, 653/770 is 585741.
LCM(69/692, 13/341, 653/770) = 585741
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 69/692,13/341,653/770
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 69,13,653
Least Common Multiple of Numerators i.e. LCM of 69,13,653 is 585741.
GCF of Denominators means GCF of 692,341,770 as per the given fractions.
GCF of 692,341,770 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 69,13,653
Given numbers has no common factors except 1. So, there LCM is their product i.e 585741
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 69,13,653 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,13,653) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(69,13,653) x common factors =1 x 1 = 1
LCM(69,13,653) = ( 69 × 13 × 653 ) / 1
LCM(69,13,653) = 585741 / 1
LCM(69,13,653) = 585741
Lets's calculate GCF of 692,341,770
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 585741/1
Therefore the LCM of Fractions 69/692,13/341,653/770 is 585741
Factors of 692
List of positive integer factors of 692 that divides 692 without a remainder.
1,2,4,173,346,692
Factors of 341
List of positive integer factors of 341 that divides 341 without a remainder.
1,11,31,341
Factors of 770
List of positive integer factors of 770 that divides 770 without a remainder.
1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770
Greatest Common Factor
We found the factors 692,341,770 . The biggest common factor number is the GCF number.
So the greatest common factor 692,341,770 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 69/692, 13/341, 653/770?
Answer: LCM of Numerators as per given numbers 69/692, 13/341, 653/770 is
LCM of Numerators i.e. for 69,13,653 is 585741
GCF of denominators i.e. for 692,341,770 is 1.
Thus, LCM of Fractions is 585741.Finally, LCM of Fractions for 69/692, 13/341, 653/770 is 585741.