Least Common Multiple of 31/503, 710/998, 951/382

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 31/503, 710/998, 951/382 quickly i.e. 20931510 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/503, 710/998, 951/382 is 20931510.

LCM(31/503, 710/998, 951/382) = 20931510

LCM of 31/503, 710/998, 951/382

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 31/503,710/998,951/382

Given numbers are 31/503,710/998,951/382

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 31,710,951

Least Common Multiple of Numerators i.e. LCM of 31,710,951 is 20931510.

GCF of Denominators means GCF of 503,998,382 as per the given fractions.

GCF of 503,998,382 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,710,951

LCM of Fractions 31/503,710/998,951/382 is 20931510

Given numbers has no common factors except 1. So, there LCM is their product i.e 20931510

Least Common Multiple of 31,710,951 with GCF Formula

Least Common Multiple of 31,710,951 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 31,710,951 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,710,951) = 1

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

GCF(31,710,951) x common factors =1 x 1 = 1

LCM(31,710,951) = ( 31 × 710 × 951 ) / 1

LCM(31,710,951) = 20931510 / 1

LCM(31,710,951) = 20931510


Lets's calculate GCF of 503,998,382

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20931510/1

Therefore the LCM of Fractions 31/503,710/998,951/382 is 20931510

Greatest Common Factor of 503,998,382 By Matching Biggest Common Factor Method

Greatest Common Factor of 503,998,382 By Matching Biggest Common Factor Method

Factors of 503

List of positive integer factors of 503 that divides 503 without a remainder.

1,503

Factors of 998

List of positive integer factors of 998 that divides 998 without a remainder.

1,2,499,998

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Greatest Common Factor

We found the factors 503,998,382 . The biggest common factor number is the GCF number.
So the greatest common factor 503,998,382 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 31/503, 710/998, 951/382

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 31/503, 710/998, 951/382?

Answer: LCM of Numerators as per given numbers 31/503, 710/998, 951/382 is

LCM of Numerators i.e. for 31,710,951 is 20931510

GCF of denominators i.e. for 503,998,382 is 1.

Thus, LCM of Fractions is 20931510.Finally, LCM of Fractions for 31/503, 710/998, 951/382 is 20931510.