Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 688/114, 804/254, 890/150 quickly i.e. 30769080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 688/114, 804/254, 890/150 is 30769080.
LCM(688/114, 804/254, 890/150) = 30769080
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 688/114,804/254,890/150
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 688,804,890
Least Common Multiple of Numerators i.e. LCM of 688,804,890 is 61538160.
GCF of Denominators means GCF of 114,254,150 as per the given fractions.
GCF of 114,254,150 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 688,804,890
2 | 688, 804, 890 |
2 | 344, 402, 445 |
172, 201, 445 |
∴ So the LCM of the given numbers is 2 x 2 x 172 x 201 x 445 = 61538160
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 688,804,890 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(688,804,890) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(688,804,890) x common factors =2 x 4 = 8
LCM(688,804,890) = ( 688 × 804 × 890 ) / 8
LCM(688,804,890) = 492305280 / 8
LCM(688,804,890) = 61538160
Lets's calculate GCF of 114,254,150
2 | 114, 254, 150 |
57, 127, 75 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 61538160/2
Therefore the LCM of Fractions 688/114,804/254,890/150 is 30769080
Factors of 114
List of positive integer factors of 114 that divides 114 without a remainder.
1,2,3,6,19,38,57,114
Factors of 254
List of positive integer factors of 254 that divides 254 without a remainder.
1,2,127,254
Factors of 150
List of positive integer factors of 150 that divides 150 without a remainder.
1,2,3,5,6,10,15,25,30,50,75,150
Greatest Common Factor
We found the factors 114,254,150 . The biggest common factor number is the GCF number.
So the greatest common factor 114,254,150 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 688/114, 804/254, 890/150?
Answer: LCM of Numerators as per given numbers 688/114, 804/254, 890/150 is
LCM of Numerators i.e. for 688,804,890 is 61538160
GCF of denominators i.e. for 114,254,150 is 2.
Thus, LCM of Fractions is 30769080.Finally, LCM of Fractions for 688/114, 804/254, 890/150 is 30769080.