Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 64/850, 541/672, 157/920 quickly i.e. 2717984 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 64/850, 541/672, 157/920 is 2717984.
LCM(64/850, 541/672, 157/920) = 2717984
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 64/850,541/672,157/920
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 64,541,157
Least Common Multiple of Numerators i.e. LCM of 64,541,157 is 5435968.
GCF of Denominators means GCF of 850,672,920 as per the given fractions.
GCF of 850,672,920 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 64,541,157
Given numbers has no common factors except 1. So, there LCM is their product i.e 5435968
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 64,541,157 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,541,157) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(64,541,157) x common factors =1 x 1 = 1
LCM(64,541,157) = ( 64 × 541 × 157 ) / 1
LCM(64,541,157) = 5435968 / 1
LCM(64,541,157) = 5435968
Lets's calculate GCF of 850,672,920
2 | 850, 672, 920 |
425, 336, 460 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5435968/2
Therefore the LCM of Fractions 64/850,541/672,157/920 is 2717984
Factors of 850
List of positive integer factors of 850 that divides 850 without a remainder.
1,2,5,10,17,25,34,50,85,170,425,850
Factors of 672
List of positive integer factors of 672 that divides 672 without a remainder.
1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672
Factors of 920
List of positive integer factors of 920 that divides 920 without a remainder.
1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920
Greatest Common Factor
We found the factors 850,672,920 . The biggest common factor number is the GCF number.
So the greatest common factor 850,672,920 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 64/850, 541/672, 157/920?
Answer: LCM of Numerators as per given numbers 64/850, 541/672, 157/920 is
LCM of Numerators i.e. for 64,541,157 is 5435968
GCF of denominators i.e. for 850,672,920 is 2.
Thus, LCM of Fractions is 2717984.Finally, LCM of Fractions for 64/850, 541/672, 157/920 is 2717984.