Least Common Multiple of 1928/130, 1498/925

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1928/130, 1498/925 quickly i.e. 1444072/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1928/130, 1498/925 is 1444072/5.

LCM(1928/130, 1498/925) = 1444072/5

LCM of 1928/130, 1498/925

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 1928/130,1498/925

Given numbers are 1928/130,1498/925

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 1928,1498

Least Common Multiple of Numerators i.e. LCM of 1928,1498 is 1444072.

GCF of Denominators means GCF of 130,925 as per the given fractions.

GCF of 130,925 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1928,1498

LCM of Fractions 1928/130,1498/925 is 1444072/5

2 1928, 1498
964, 749

∴ So the LCM of the given numbers is 2 x 964 x 749 = 1444072

Least Common Multiple of 1928,1498 with GCF Formula

Least Common Multiple of 1928,1498 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 1928,1498 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1928,1498) = 2

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

GCF(1928,1498) x common factors =2 x 1 = 2

LCM(1928,1498) = ( 1928 × 1498 ) / 2

LCM(1928,1498) = 2888144 / 2

LCM(1928,1498) = 1444072


Lets's calculate GCF of 130,925

5 130, 925
26, 185

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1444072/5

Therefore the LCM of Fractions 1928/130,1498/925 is 1444072/5

Greatest Common Factor of 130,925 By Matching Biggest Common Factor Method

Greatest Common Factor of 130,925 By Matching Biggest Common Factor Method

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Factors of 925

List of positive integer factors of 925 that divides 925 without a remainder.

1,5,25,37,185,925

Greatest Common Factor

We found the factors 130,925 . The biggest common factor number is the GCF number.
So the greatest common factor 130,925 is 5.


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 1928/130, 1498/925

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 1928/130, 1498/925?

Answer: LCM of Numerators as per given numbers 1928/130, 1498/925 is

LCM of Numerators i.e. for 1928,1498 is 1444072

GCF of denominators i.e. for 130,925 is 5.

Thus, LCM of Fractions is 1444072/5.Finally, LCM of Fractions for 1928/130, 1498/925 is 1444072/5.