Least Common Multiple of 807/753, 985/903

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 807/753, 985/903 quickly i.e. 264965 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 807/753, 985/903 is 264965.

LCM(807/753, 985/903) = 264965

LCM of 807/753, 985/903

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 807/753,985/903

Given numbers are 807/753,985/903

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 807,985

Least Common Multiple of Numerators i.e. LCM of 807,985 is 794895.

GCF of Denominators means GCF of 753,903 as per the given fractions.

GCF of 753,903 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 807,985

LCM of Fractions 807/753,985/903 is 264965

Given numbers has no common factors except 1. So, there LCM is their product i.e 794895

Least Common Multiple of 807,985 with GCF Formula

Least Common Multiple of 807,985 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 807,985 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(807,985) = 1

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

GCF(807,985) x common factors =1 x 1 = 1

LCM(807,985) = ( 807 × 985 ) / 1

LCM(807,985) = 794895 / 1

LCM(807,985) = 794895


Lets's calculate GCF of 753,903

3 753, 903
251, 301

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 794895/3

Therefore the LCM of Fractions 807/753,985/903 is 264965

Greatest Common Factor of 753,903 By Matching Biggest Common Factor Method

Greatest Common Factor of 753,903 By Matching Biggest Common Factor Method

Factors of 753

List of positive integer factors of 753 that divides 753 without a remainder.

1,3,251,753

Factors of 903

List of positive integer factors of 903 that divides 903 without a remainder.

1,3,7,21,43,129,301,903

Greatest Common Factor

We found the factors 753,903 . The biggest common factor number is the GCF number.
So the greatest common factor 753,903 is 3.


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Frequently Asked Questions on Fractional LCM of 807/753, 985/903

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 807/753, 985/903?

Answer: LCM of Numerators as per given numbers 807/753, 985/903 is

LCM of Numerators i.e. for 807,985 is 794895

GCF of denominators i.e. for 753,903 is 3.

Thus, LCM of Fractions is 264965.Finally, LCM of Fractions for 807/753, 985/903 is 264965.