Least Common Multiple of 1162/596, 1040/1855

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1162/596, 1040/1855 quickly i.e. 604240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1162/596, 1040/1855 is 604240.

LCM(1162/596, 1040/1855) = 604240

LCM of 1162/596, 1040/1855

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 1162/596,1040/1855

Given numbers are 1162/596,1040/1855

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 1162,1040

Least Common Multiple of Numerators i.e. LCM of 1162,1040 is 604240.

GCF of Denominators means GCF of 596,1855 as per the given fractions.

GCF of 596,1855 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1162,1040

LCM of Fractions 1162/596,1040/1855 is 604240

2 1162, 1040
581, 520

∴ So the LCM of the given numbers is 2 x 581 x 520 = 604240

Least Common Multiple of 1162,1040 with GCF Formula

Least Common Multiple of 1162,1040 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 1162,1040 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1162,1040) = 2

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

GCF(1162,1040) x common factors =2 x 1 = 2

LCM(1162,1040) = ( 1162 × 1040 ) / 2

LCM(1162,1040) = 1208480 / 2

LCM(1162,1040) = 604240


Lets's calculate GCF of 596,1855

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 604240/1

Therefore the LCM of Fractions 1162/596,1040/1855 is 604240

Greatest Common Factor of 596,1855 By Matching Biggest Common Factor Method

Greatest Common Factor of 596,1855 By Matching Biggest Common Factor Method

Factors of 596

List of positive integer factors of 596 that divides 596 without a remainder.

1,2,4,149,298,596

Factors of 1855

List of positive integer factors of 1855 that divides 1855 without a remainder.

1,5,7,35,53,265,371,1855

Greatest Common Factor

We found the factors 596,1855 . The biggest common factor number is the GCF number.
So the greatest common factor 596,1855 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1162/596, 1040/1855

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 1162/596, 1040/1855?

Answer: LCM of Numerators as per given numbers 1162/596, 1040/1855 is

LCM of Numerators i.e. for 1162,1040 is 604240

GCF of denominators i.e. for 596,1855 is 1.

Thus, LCM of Fractions is 604240.Finally, LCM of Fractions for 1162/596, 1040/1855 is 604240.