Least Common Multiple of 497/982, 158/760

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 497/982, 158/760 quickly i.e. 39263 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 497/982, 158/760 is 39263.

LCM(497/982, 158/760) = 39263

LCM of 497/982, 158/760

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 497/982,158/760

Given numbers are 497/982,158/760

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 497,158

Least Common Multiple of Numerators i.e. LCM of 497,158 is 78526.

GCF of Denominators means GCF of 982,760 as per the given fractions.

GCF of 982,760 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 497,158

LCM of Fractions 497/982,158/760 is 39263

Given numbers has no common factors except 1. So, there LCM is their product i.e 78526

Least Common Multiple of 497,158 with GCF Formula

Least Common Multiple of 497,158 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 497,158 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(497,158) = 1

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

GCF(497,158) x common factors =1 x 1 = 1

LCM(497,158) = ( 497 × 158 ) / 1

LCM(497,158) = 78526 / 1

LCM(497,158) = 78526


Lets's calculate GCF of 982,760

2 982, 760
491, 380

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78526/2

Therefore the LCM of Fractions 497/982,158/760 is 39263

Greatest Common Factor of 982,760 By Matching Biggest Common Factor Method

Greatest Common Factor of 982,760 By Matching Biggest Common Factor Method

Factors of 982

List of positive integer factors of 982 that divides 982 without a remainder.

1,2,491,982

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Greatest Common Factor

We found the factors 982,760 . The biggest common factor number is the GCF number.
So the greatest common factor 982,760 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 497/982, 158/760

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 497/982, 158/760?

Answer: LCM of Numerators as per given numbers 497/982, 158/760 is

LCM of Numerators i.e. for 497,158 is 78526

GCF of denominators i.e. for 982,760 is 2.

Thus, LCM of Fractions is 39263.Finally, LCM of Fractions for 497/982, 158/760 is 39263.