Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 46/770, 49/962, 882/694 quickly i.e. 10143 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 46/770, 49/962, 882/694 is 10143.
LCM(46/770, 49/962, 882/694) = 10143
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 46/770,49/962,882/694
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 46,49,882
Least Common Multiple of Numerators i.e. LCM of 46,49,882 is 20286.
GCF of Denominators means GCF of 770,962,694 as per the given fractions.
GCF of 770,962,694 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 46,49,882
2 | 46, 49, 882 |
7 | 23, 49, 441 |
7 | 23, 7, 63 |
23, 1, 9 |
∴ So the LCM of the given numbers is 2 x 7 x 7 x 23 x 1 x 9 = 20286
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 46,49,882 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(46,49,882) = 1
common factors(in case of two or more numbers have common factors) = 98
GCF(46,49,882) x common factors =1 x 98 = 98
LCM(46,49,882) = ( 46 × 49 × 882 ) / 98
LCM(46,49,882) = 1988028 / 98
LCM(46,49,882) = 20286
Lets's calculate GCF of 770,962,694
2 | 770, 962, 694 |
385, 481, 347 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20286/2
Therefore the LCM of Fractions 46/770,49/962,882/694 is 10143
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 962
List of positive integer factors of 962 that divides 962 without a remainder.
1,2,13,26,37,74,481,962
Factors of 694
List of positive integer factors of 694 that divides 694 without a remainder.
1,2,347,694
Greatest Common Factor
We found the factors 770,962,694 . The biggest common factor number is the GCF number.
So the greatest common factor 770,962,694 is 2.
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 46/770, 49/962, 882/694?
Answer: LCM of Numerators as per given numbers 46/770, 49/962, 882/694 is
LCM of Numerators i.e. for 46,49,882 is 20286
GCF of denominators i.e. for 770,962,694 is 2.
Thus, LCM of Fractions is 10143.Finally, LCM of Fractions for 46/770, 49/962, 882/694 is 10143.