Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 948/63, 552/55, 776/770 quickly i.e. 4229976 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 948/63, 552/55, 776/770 is 4229976.
LCM(948/63, 552/55, 776/770) = 4229976
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 948/63,552/55,776/770
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 948,552,776
Least Common Multiple of Numerators i.e. LCM of 948,552,776 is 4229976.
GCF of Denominators means GCF of 63,55,770 as per the given fractions.
GCF of 63,55,770 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 948,552,776
2 | 948, 552, 776 |
2 | 474, 276, 388 |
2 | 237, 138, 194 |
3 | 237, 69, 97 |
79, 23, 97 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 79 x 23 x 97 = 4229976
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 948,552,776 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(948,552,776) = 4
common factors(in case of two or more numbers have common factors) = 24
GCF(948,552,776) x common factors =4 x 24 = 96
LCM(948,552,776) = ( 948 × 552 × 776 ) / 96
LCM(948,552,776) = 406077696 / 96
LCM(948,552,776) = 4229976
Lets's calculate GCF of 63,55,770
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4229976/1
Therefore the LCM of Fractions 948/63,552/55,776/770 is 4229976
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
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
Greatest Common Factor
We found the factors 63,55,770 . The biggest common factor number is the GCF number.
So the greatest common factor 63,55,770 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 948/63, 552/55, 776/770?
Answer: LCM of Numerators as per given numbers 948/63, 552/55, 776/770 is
LCM of Numerators i.e. for 948,552,776 is 4229976
GCF of denominators i.e. for 63,55,770 is 1.
Thus, LCM of Fractions is 4229976.Finally, LCM of Fractions for 948/63, 552/55, 776/770 is 4229976.