Least Common Multiple of 763/53, 7637/235

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 763/53, 7637/235 quickly i.e. 832433 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 763/53, 7637/235 is 832433.

LCM(763/53, 7637/235) = 832433

LCM of 763/53, 7637/235

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 763/53,7637/235

Given numbers are 763/53,7637/235

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 763,7637

Least Common Multiple of Numerators i.e. LCM of 763,7637 is 832433.

GCF of Denominators means GCF of 53,235 as per the given fractions.

GCF of 53,235 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 763,7637

LCM of Fractions 763/53,7637/235 is 832433

7 763, 7637
109, 1091

∴ So the LCM of the given numbers is 7 x 109 x 1091 = 832433

Least Common Multiple of 763,7637 with GCF Formula

Least Common Multiple of 763,7637 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 763,7637 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(763,7637) = 7

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

GCF(763,7637) x common factors =7 x 1 = 7

LCM(763,7637) = ( 763 × 7637 ) / 7

LCM(763,7637) = 5827031 / 7

LCM(763,7637) = 832433


Lets's calculate GCF of 53,235

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 832433/1

Therefore the LCM of Fractions 763/53,7637/235 is 832433

Greatest Common Factor of 53,235 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,235 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 235

List of positive integer factors of 235 that divides 235 without a remainder.

1,5,47,235

Greatest Common Factor

We found the factors 53,235 . The biggest common factor number is the GCF number.
So the greatest common factor 53,235 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 763/53, 7637/235

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 763/53, 7637/235?

Answer: LCM of Numerators as per given numbers 763/53, 7637/235 is

LCM of Numerators i.e. for 763,7637 is 832433

GCF of denominators i.e. for 53,235 is 1.

Thus, LCM of Fractions is 832433.Finally, LCM of Fractions for 763/53, 7637/235 is 832433.