Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 665/154, 540/700 quickly i.e. 5130 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 665/154, 540/700 is 5130.
LCM(665/154, 540/700) = 5130
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 665/154,540/700
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 665,540
Least Common Multiple of Numerators i.e. LCM of 665,540 is 71820.
GCF of Denominators means GCF of 154,700 as per the given fractions.
GCF of 154,700 is 14 as it is the largest common factor for these numbers.
Lets's calculate LCM of 665,540
5 | 665, 540 |
133, 108 |
∴ So the LCM of the given numbers is 5 x 133 x 108 = 71820
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 665,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(665,540) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(665,540) x common factors =5 x 1 = 5
LCM(665,540) = ( 665 × 540 ) / 5
LCM(665,540) = 359100 / 5
LCM(665,540) = 71820
Lets's calculate GCF of 154,700
2 | 154, 700 |
7 | 77, 350 |
11, 50 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 71820/14
Therefore the LCM of Fractions 665/154,540/700 is 5130
Factors of 154
List of positive integer factors of 154 that divides 154 without a remainder.
1,2,7,11,14,22,77,154
Factors of 700
List of positive integer factors of 700 that divides 700 without a remainder.
1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700
Greatest Common Factor
We found the factors 154,700 . The biggest common factor number is the GCF number.
So the greatest common factor 154,700 is 14.
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 665/154, 540/700?
Answer: LCM of Numerators as per given numbers 665/154, 540/700 is
LCM of Numerators i.e. for 665,540 is 71820
GCF of denominators i.e. for 154,700 is 14.
Thus, LCM of Fractions is 5130.Finally, LCM of Fractions for 665/154, 540/700 is 5130.