Least Common Multiple of 762/92, 753/2093

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 762/92, 753/2093 quickly i.e. 191262/23 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 762/92, 753/2093 is 191262/23.

LCM(762/92, 753/2093) = 191262/23

LCM of 762/92, 753/2093

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 762/92,753/2093

Given numbers are 762/92,753/2093

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 762,753

Least Common Multiple of Numerators i.e. LCM of 762,753 is 191262.

GCF of Denominators means GCF of 92,2093 as per the given fractions.

GCF of 92,2093 is 23 as it is the largest common factor for these numbers.

Lets's calculate LCM of 762,753

LCM of Fractions 762/92,753/2093 is 191262/23

3 762, 753
254, 251

∴ So the LCM of the given numbers is 3 x 254 x 251 = 191262

Least Common Multiple of 762,753 with GCF Formula

Least Common Multiple of 762,753 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 762,753 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(762,753) = 3

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

GCF(762,753) x common factors =3 x 1 = 3

LCM(762,753) = ( 762 × 753 ) / 3

LCM(762,753) = 573786 / 3

LCM(762,753) = 191262


Lets's calculate GCF of 92,2093

23 92, 2093
4, 91

∴ So the GCF of the given numbers is 23 = 23

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 191262/23

Therefore the LCM of Fractions 762/92,753/2093 is 191262/23

Greatest Common Factor of 92,2093 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,2093 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 2093

List of positive integer factors of 2093 that divides 2093 without a remainder.

1,7,13,23,91,161,299,2093

Greatest Common Factor

We found the factors 92,2093 . The biggest common factor number is the GCF number.
So the greatest common factor 92,2093 is 23.


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Frequently Asked Questions on Fractional LCM of 762/92, 753/2093

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 762/92, 753/2093?

Answer: LCM of Numerators as per given numbers 762/92, 753/2093 is

LCM of Numerators i.e. for 762,753 is 191262

GCF of denominators i.e. for 92,2093 is 23.

Thus, LCM of Fractions is 191262/23.Finally, LCM of Fractions for 762/92, 753/2093 is 191262/23.