Least Common Multiple of 758/927, 4664/6457

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 758/927, 4664/6457 quickly i.e. 1767656 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 758/927, 4664/6457 is 1767656.

LCM(758/927, 4664/6457) = 1767656

LCM of 758/927, 4664/6457

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 758/927,4664/6457

Given numbers are 758/927,4664/6457

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 758,4664

Least Common Multiple of Numerators i.e. LCM of 758,4664 is 1767656.

GCF of Denominators means GCF of 927,6457 as per the given fractions.

GCF of 927,6457 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 758,4664

LCM of Fractions 758/927,4664/6457 is 1767656

2 758, 4664
379, 2332

∴ So the LCM of the given numbers is 2 x 379 x 2332 = 1767656

Least Common Multiple of 758,4664 with GCF Formula

Least Common Multiple of 758,4664 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 758,4664 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(758,4664) = 2

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

GCF(758,4664) x common factors =2 x 1 = 2

LCM(758,4664) = ( 758 × 4664 ) / 2

LCM(758,4664) = 3535312 / 2

LCM(758,4664) = 1767656


Lets's calculate GCF of 927,6457

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1767656/1

Therefore the LCM of Fractions 758/927,4664/6457 is 1767656

Greatest Common Factor of 927,6457 By Matching Biggest Common Factor Method

Greatest Common Factor of 927,6457 By Matching Biggest Common Factor Method

Factors of 927

List of positive integer factors of 927 that divides 927 without a remainder.

1,3,9,103,309,927

Factors of 6457

List of positive integer factors of 6457 that divides 6457 without a remainder.

1,11,587,6457

Greatest Common Factor

We found the factors 927,6457 . The biggest common factor number is the GCF number.
So the greatest common factor 927,6457 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 758/927, 4664/6457

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 758/927, 4664/6457?

Answer: LCM of Numerators as per given numbers 758/927, 4664/6457 is

LCM of Numerators i.e. for 758,4664 is 1767656

GCF of denominators i.e. for 927,6457 is 1.

Thus, LCM of Fractions is 1767656.Finally, LCM of Fractions for 758/927, 4664/6457 is 1767656.