Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7054/607, 7350/100 quickly i.e. 25923450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7054/607, 7350/100 is 25923450.
LCM(7054/607, 7350/100) = 25923450
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7054/607,7350/100
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 7054,7350
Least Common Multiple of Numerators i.e. LCM of 7054,7350 is 25923450.
GCF of Denominators means GCF of 607,100 as per the given fractions.
GCF of 607,100 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7054,7350
2 | 7054, 7350 |
3527, 3675 |
∴ So the LCM of the given numbers is 2 x 3527 x 3675 = 25923450
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 7054,7350 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7054,7350) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(7054,7350) x common factors =2 x 1 = 2
LCM(7054,7350) = ( 7054 × 7350 ) / 2
LCM(7054,7350) = 51846900 / 2
LCM(7054,7350) = 25923450
Lets's calculate GCF of 607,100
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25923450/1
Therefore the LCM of Fractions 7054/607,7350/100 is 25923450
Factors of 607
List of positive integer factors of 607 that divides 607 without a remainder.
1,607
Factors of 100
List of positive integer factors of 100 that divides 100 without a remainder.
1,2,4,5,10,20,25,50,100
Greatest Common Factor
We found the factors 607,100 . The biggest common factor number is the GCF number.
So the greatest common factor 607,100 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 7054/607, 7350/100?
Answer: LCM of Numerators as per given numbers 7054/607, 7350/100 is
LCM of Numerators i.e. for 7054,7350 is 25923450
GCF of denominators i.e. for 607,100 is 1.
Thus, LCM of Fractions is 25923450.Finally, LCM of Fractions for 7054/607, 7350/100 is 25923450.