Least Common Multiple of 5738/762, 5548/256

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5738/762, 5548/256 quickly i.e. 418874 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5738/762, 5548/256 is 418874.

LCM(5738/762, 5548/256) = 418874

LCM of 5738/762, 5548/256

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 5738/762,5548/256

Given numbers are 5738/762,5548/256

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 5738,5548

Least Common Multiple of Numerators i.e. LCM of 5738,5548 is 837748.

GCF of Denominators means GCF of 762,256 as per the given fractions.

GCF of 762,256 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5738,5548

LCM of Fractions 5738/762,5548/256 is 418874

2 5738, 5548
19 2869, 2774
151, 146

∴ So the LCM of the given numbers is 2 x 19 x 151 x 146 = 837748

Least Common Multiple of 5738,5548 with GCF Formula

Least Common Multiple of 5738,5548 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 5738,5548 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5738,5548) = 38

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

GCF(5738,5548) x common factors =38 x 1 = 38

LCM(5738,5548) = ( 5738 × 5548 ) / 38

LCM(5738,5548) = 31834424 / 38

LCM(5738,5548) = 837748


Lets's calculate GCF of 762,256

2 762, 256
381, 128

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 837748/2

Therefore the LCM of Fractions 5738/762,5548/256 is 418874

Greatest Common Factor of 762,256 By Matching Biggest Common Factor Method

Greatest Common Factor of 762,256 By Matching Biggest Common Factor Method

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Factors of 256

List of positive integer factors of 256 that divides 256 without a remainder.

1,2,4,8,16,32,64,128,256

Greatest Common Factor

We found the factors 762,256 . The biggest common factor number is the GCF number.
So the greatest common factor 762,256 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 5738/762, 5548/256

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 5738/762, 5548/256?

Answer: LCM of Numerators as per given numbers 5738/762, 5548/256 is

LCM of Numerators i.e. for 5738,5548 is 837748

GCF of denominators i.e. for 762,256 is 2.

Thus, LCM of Fractions is 418874.Finally, LCM of Fractions for 5738/762, 5548/256 is 418874.