Least Common Multiple of 1040/95, 2925/992

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1040/95, 2925/992 quickly i.e. 46800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1040/95, 2925/992 is 46800.

LCM(1040/95, 2925/992) = 46800

LCM of 1040/95, 2925/992

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 1040/95,2925/992

Given numbers are 1040/95,2925/992

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 1040,2925

Least Common Multiple of Numerators i.e. LCM of 1040,2925 is 46800.

GCF of Denominators means GCF of 95,992 as per the given fractions.

GCF of 95,992 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1040,2925

LCM of Fractions 1040/95,2925/992 is 46800

5 1040, 2925
13 208, 585
16, 45

∴ So the LCM of the given numbers is 5 x 13 x 16 x 45 = 46800

Least Common Multiple of 1040,2925 with GCF Formula

Least Common Multiple of 1040,2925 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 1040,2925 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1040,2925) = 65

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

GCF(1040,2925) x common factors =65 x 1 = 65

LCM(1040,2925) = ( 1040 × 2925 ) / 65

LCM(1040,2925) = 3042000 / 65

LCM(1040,2925) = 46800


Lets's calculate GCF of 95,992

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46800/1

Therefore the LCM of Fractions 1040/95,2925/992 is 46800

Greatest Common Factor of 95,992 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,992 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

Greatest Common Factor

We found the factors 95,992 . The biggest common factor number is the GCF number.
So the greatest common factor 95,992 is 1.


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 1040/95, 2925/992

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 1040/95, 2925/992?

Answer: LCM of Numerators as per given numbers 1040/95, 2925/992 is

LCM of Numerators i.e. for 1040,2925 is 46800

GCF of denominators i.e. for 95,992 is 1.

Thus, LCM of Fractions is 46800.Finally, LCM of Fractions for 1040/95, 2925/992 is 46800.