Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 280/670, 894/100 quickly i.e. 12516 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 280/670, 894/100 is 12516.
LCM(280/670, 894/100) = 12516
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 280/670,894/100
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 280,894
Least Common Multiple of Numerators i.e. LCM of 280,894 is 125160.
GCF of Denominators means GCF of 670,100 as per the given fractions.
GCF of 670,100 is 10 as it is the largest common factor for these numbers.
Lets's calculate LCM of 280,894
2 | 280, 894 |
140, 447 |
∴ So the LCM of the given numbers is 2 x 140 x 447 = 125160
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 280,894 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(280,894) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(280,894) x common factors =2 x 1 = 2
LCM(280,894) = ( 280 × 894 ) / 2
LCM(280,894) = 250320 / 2
LCM(280,894) = 125160
Lets's calculate GCF of 670,100
2 | 670, 100 |
5 | 335, 50 |
67, 10 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 125160/10
Therefore the LCM of Fractions 280/670,894/100 is 12516
Factors of 670
List of positive integer factors of 670 that divides 670 without a remainder.
1,2,5,10,67,134,335,670
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 670,100 . The biggest common factor number is the GCF number.
So the greatest common factor 670,100 is 10.
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 280/670, 894/100?
Answer: LCM of Numerators as per given numbers 280/670, 894/100 is
LCM of Numerators i.e. for 280,894 is 125160
GCF of denominators i.e. for 670,100 is 10.
Thus, LCM of Fractions is 12516.Finally, LCM of Fractions for 280/670, 894/100 is 12516.