Least Common Multiple of 48/114, 26/612, 145/312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/114, 26/612, 145/312 quickly i.e. 15080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/114, 26/612, 145/312 is 15080.

LCM(48/114, 26/612, 145/312) = 15080

LCM of 48/114, 26/612, 145/312

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 48/114,26/612,145/312

Given numbers are 48/114,26/612,145/312

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 48,26,145

Least Common Multiple of Numerators i.e. LCM of 48,26,145 is 90480.

GCF of Denominators means GCF of 114,612,312 as per the given fractions.

GCF of 114,612,312 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,26,145

LCM of Fractions 48/114,26/612,145/312 is 15080

2 48, 26, 145
24, 13, 145

∴ So the LCM of the given numbers is 2 x 24 x 13 x 145 = 90480

Least Common Multiple of 48,26,145 with GCF Formula

Least Common Multiple of 48,26,145 with GCF Formula

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 48,26,145 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,26,145) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(48,26,145) x common factors =1 x 2 = 2

LCM(48,26,145) = ( 48 × 26 × 145 ) / 2

LCM(48,26,145) = 180960 / 2

LCM(48,26,145) = 90480


Lets's calculate GCF of 114,612,312

2 114, 612, 312
3 57, 306, 156
19, 102, 52

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 90480/6

Therefore the LCM of Fractions 48/114,26/612,145/312 is 15080

Greatest Common Factor of 114,612,312 By Matching Biggest Common Factor Method

Greatest Common Factor of 114,612,312 By Matching Biggest Common Factor Method

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 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Greatest Common Factor

We found the factors 114,612,312 . The biggest common factor number is the GCF number.
So the greatest common factor 114,612,312 is 6.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 48/114, 26/612, 145/312

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 48/114, 26/612, 145/312?

Answer: LCM of Numerators as per given numbers 48/114, 26/612, 145/312 is

LCM of Numerators i.e. for 48,26,145 is 90480

GCF of denominators i.e. for 114,612,312 is 6.

Thus, LCM of Fractions is 15080.Finally, LCM of Fractions for 48/114, 26/612, 145/312 is 15080.