Least Common Multiple of 130/274, 2276/148

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 130/274, 2276/148 quickly i.e. 73970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 130/274, 2276/148 is 73970.

LCM(130/274, 2276/148) = 73970

LCM of 130/274, 2276/148

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 130/274,2276/148

Given numbers are 130/274,2276/148

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 130,2276

Least Common Multiple of Numerators i.e. LCM of 130,2276 is 147940.

GCF of Denominators means GCF of 274,148 as per the given fractions.

GCF of 274,148 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 130,2276

LCM of Fractions 130/274,2276/148 is 73970

2 130, 2276
65, 1138

∴ So the LCM of the given numbers is 2 x 65 x 1138 = 147940

Least Common Multiple of 130,2276 with GCF Formula

Least Common Multiple of 130,2276 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 130,2276 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(130,2276) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(130,2276) x common factors =2 x 1 = 2

LCM(130,2276) = ( 130 × 2276 ) / 2

LCM(130,2276) = 295880 / 2

LCM(130,2276) = 147940


Lets's calculate GCF of 274,148

2 274, 148
137, 74

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 147940/2

Therefore the LCM of Fractions 130/274,2276/148 is 73970

Greatest Common Factor of 274,148 By Matching Biggest Common Factor Method

Greatest Common Factor of 274,148 By Matching Biggest Common Factor Method

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

Factors of 148

List of positive integer factors of 148 that divides 148 without a remainder.

1,2,4,37,74,148

Greatest Common Factor

We found the factors 274,148 . The biggest common factor number is the GCF number.
So the greatest common factor 274,148 is 2.


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 130/274, 2276/148

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 130/274, 2276/148?

Answer: LCM of Numerators as per given numbers 130/274, 2276/148 is

LCM of Numerators i.e. for 130,2276 is 147940

GCF of denominators i.e. for 274,148 is 2.

Thus, LCM of Fractions is 73970.Finally, LCM of Fractions for 130/274, 2276/148 is 73970.