Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 11/620, 18/946, 457/770 quickly i.e. 45243 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 11/620, 18/946, 457/770 is 45243.
LCM(11/620, 18/946, 457/770) = 45243
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 11/620,18/946,457/770
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 11,18,457
Least Common Multiple of Numerators i.e. LCM of 11,18,457 is 90486.
GCF of Denominators means GCF of 620,946,770 as per the given fractions.
GCF of 620,946,770 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 11,18,457
Given numbers has no common factors except 1. So, there LCM is their product i.e 90486
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 11,18,457 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,18,457) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(11,18,457) x common factors =1 x 1 = 1
LCM(11,18,457) = ( 11 × 18 × 457 ) / 1
LCM(11,18,457) = 90486 / 1
LCM(11,18,457) = 90486
Lets's calculate GCF of 620,946,770
2 | 620, 946, 770 |
310, 473, 385 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 90486/2
Therefore the LCM of Fractions 11/620,18/946,457/770 is 45243
Factors of 620
List of positive integer factors of 620 that divides 620 without a remainder.
1,2,4,5,10,20,31,62,124,155,310,620
Factors of 946
List of positive integer factors of 946 that divides 946 without a remainder.
1,2,11,22,43,86,473,946
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 620,946,770 . The biggest common factor number is the GCF number.
So the greatest common factor 620,946,770 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 11/620, 18/946, 457/770?
Answer: LCM of Numerators as per given numbers 11/620, 18/946, 457/770 is
LCM of Numerators i.e. for 11,18,457 is 90486
GCF of denominators i.e. for 620,946,770 is 2.
Thus, LCM of Fractions is 45243.Finally, LCM of Fractions for 11/620, 18/946, 457/770 is 45243.