Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 15/607, 140/668, 827/277 quickly i.e. 347340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 15/607, 140/668, 827/277 is 347340.
LCM(15/607, 140/668, 827/277) = 347340
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 15/607,140/668,827/277
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 15,140,827
Least Common Multiple of Numerators i.e. LCM of 15,140,827 is 347340.
GCF of Denominators means GCF of 607,668,277 as per the given fractions.
GCF of 607,668,277 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 15,140,827
5 | 15, 140, 827 |
3, 28, 827 |
∴ So the LCM of the given numbers is 5 x 3 x 28 x 827 = 347340
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 15,140,827 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,140,827) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(15,140,827) x common factors =1 x 5 = 5
LCM(15,140,827) = ( 15 × 140 × 827 ) / 5
LCM(15,140,827) = 1736700 / 5
LCM(15,140,827) = 347340
Lets's calculate GCF of 607,668,277
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 347340/1
Therefore the LCM of Fractions 15/607,140/668,827/277 is 347340
Factors of 607
List of positive integer factors of 607 that divides 607 without a remainder.
1,607
Factors of 668
List of positive integer factors of 668 that divides 668 without a remainder.
1,2,4,167,334,668
Factors of 277
List of positive integer factors of 277 that divides 277 without a remainder.
1,277
Greatest Common Factor
We found the factors 607,668,277 . The biggest common factor number is the GCF number.
So the greatest common factor 607,668,277 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 15/607, 140/668, 827/277?
Answer: LCM of Numerators as per given numbers 15/607, 140/668, 827/277 is
LCM of Numerators i.e. for 15,140,827 is 347340
GCF of denominators i.e. for 607,668,277 is 1.
Thus, LCM of Fractions is 347340.Finally, LCM of Fractions for 15/607, 140/668, 827/277 is 347340.