Least Common Multiple of 664/952, 8538/4144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 664/952, 8538/4144 quickly i.e. 2834616/56 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 664/952, 8538/4144 is 2834616/56.

LCM(664/952, 8538/4144) = 2834616/56

LCM of 664/952, 8538/4144

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 664/952,8538/4144

Given numbers are 664/952,8538/4144

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 664,8538

Least Common Multiple of Numerators i.e. LCM of 664,8538 is 2834616.

GCF of Denominators means GCF of 952,4144 as per the given fractions.

GCF of 952,4144 is 56 as it is the largest common factor for these numbers.

Lets's calculate LCM of 664,8538

LCM of Fractions 664/952,8538/4144 is 2834616/56

2 664, 8538
332, 4269

∴ So the LCM of the given numbers is 2 x 332 x 4269 = 2834616

Least Common Multiple of 664,8538 with GCF Formula

Least Common Multiple of 664,8538 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 664,8538 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(664,8538) = 2

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

GCF(664,8538) x common factors =2 x 1 = 2

LCM(664,8538) = ( 664 × 8538 ) / 2

LCM(664,8538) = 5669232 / 2

LCM(664,8538) = 2834616


Lets's calculate GCF of 952,4144

2 952, 4144
2 476, 2072
2 238, 1036
7 119, 518
17, 74

∴ So the GCF of the given numbers is 2 x 2 x 2 x 7 = 56

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2834616/56

Therefore the LCM of Fractions 664/952,8538/4144 is 2834616/56

Greatest Common Factor of 952,4144 By Matching Biggest Common Factor Method

Greatest Common Factor of 952,4144 By Matching Biggest Common Factor Method

Factors of 952

List of positive integer factors of 952 that divides 952 without a remainder.

1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952

Factors of 4144

List of positive integer factors of 4144 that divides 4144 without a remainder.

1,2,4,7,8,14,16,28,37,56,74,112,148,259,296,518,592,1036,2072,4144

Greatest Common Factor

We found the factors 952,4144 . The biggest common factor number is the GCF number.
So the greatest common factor 952,4144 is 56.


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 664/952, 8538/4144

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 664/952, 8538/4144?

Answer: LCM of Numerators as per given numbers 664/952, 8538/4144 is

LCM of Numerators i.e. for 664,8538 is 2834616

GCF of denominators i.e. for 952,4144 is 56.

Thus, LCM of Fractions is 2834616/56.Finally, LCM of Fractions for 664/952, 8538/4144 is 2834616/56.