Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 669/770, 6499/154 quickly i.e. 4347831/154 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 669/770, 6499/154 is 4347831/154.
LCM(669/770, 6499/154) = 4347831/154
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 669/770,6499/154
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 669,6499
Least Common Multiple of Numerators i.e. LCM of 669,6499 is 4347831.
GCF of Denominators means GCF of 770,154 as per the given fractions.
GCF of 770,154 is 154 as it is the largest common factor for these numbers.
Lets's calculate LCM of 669,6499
Given numbers has no common factors except 1. So, there LCM is their product i.e 4347831
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 669,6499 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(669,6499) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(669,6499) x common factors =1 x 1 = 1
LCM(669,6499) = ( 669 × 6499 ) / 1
LCM(669,6499) = 4347831 / 1
LCM(669,6499) = 4347831
Lets's calculate GCF of 770,154
2 | 770, 154 |
7 | 385, 77 |
11 | 55, 11 |
5, 1 |
∴ So the GCF of the given numbers is 2 x 7 x 11 = 154
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4347831/154
Therefore the LCM of Fractions 669/770,6499/154 is 4347831/154
Factors of 770
List of positive integer factors of 770 that divides 770 without a remainder.
1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770
Factors of 154
List of positive integer factors of 154 that divides 154 without a remainder.
1,2,7,11,14,22,77,154
Greatest Common Factor
We found the factors 770,154 . The biggest common factor number is the GCF number.
So the greatest common factor 770,154 is 154.
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 669/770, 6499/154?
Answer: LCM of Numerators as per given numbers 669/770, 6499/154 is
LCM of Numerators i.e. for 669,6499 is 4347831
GCF of denominators i.e. for 770,154 is 154.
Thus, LCM of Fractions is 4347831/154.Finally, LCM of Fractions for 669/770, 6499/154 is 4347831/154.