Least Common Multiple of 637/271, 4459/765

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 637/271, 4459/765 quickly i.e. 4459 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 637/271, 4459/765 is 4459.

LCM(637/271, 4459/765) = 4459

LCM of 637/271, 4459/765

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 637/271,4459/765

Given numbers are 637/271,4459/765

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 637,4459

Least Common Multiple of Numerators i.e. LCM of 637,4459 is 4459.

GCF of Denominators means GCF of 271,765 as per the given fractions.

GCF of 271,765 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 637,4459

LCM of Fractions 637/271,4459/765 is 4459

7 637, 4459
7 91, 637
13 13, 91
1, 7

∴ So the LCM of the given numbers is 7 x 7 x 13 x 1 x 7 = 4459

Least Common Multiple of 637,4459 with GCF Formula

Least Common Multiple of 637,4459 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 637,4459 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(637,4459) = 637

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

GCF(637,4459) x common factors =637 x 1 = 637

LCM(637,4459) = ( 637 × 4459 ) / 637

LCM(637,4459) = 2840383 / 637

LCM(637,4459) = 4459


Lets's calculate GCF of 271,765

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4459/1

Therefore the LCM of Fractions 637/271,4459/765 is 4459

Greatest Common Factor of 271,765 By Matching Biggest Common Factor Method

Greatest Common Factor of 271,765 By Matching Biggest Common Factor Method

Factors of 271

List of positive integer factors of 271 that divides 271 without a remainder.

1,271

Factors of 765

List of positive integer factors of 765 that divides 765 without a remainder.

1,3,5,9,15,17,45,51,85,153,255,765

Greatest Common Factor

We found the factors 271,765 . The biggest common factor number is the GCF number.
So the greatest common factor 271,765 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 637/271, 4459/765

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 637/271, 4459/765?

Answer: LCM of Numerators as per given numbers 637/271, 4459/765 is

LCM of Numerators i.e. for 637,4459 is 4459

GCF of denominators i.e. for 271,765 is 1.

Thus, LCM of Fractions is 4459.Finally, LCM of Fractions for 637/271, 4459/765 is 4459.