Least Common Multiple of 677/64, 164/3740

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 677/64, 164/3740 quickly i.e. 27757 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 677/64, 164/3740 is 27757.

LCM(677/64, 164/3740) = 27757

LCM of 677/64, 164/3740

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 677/64,164/3740

Given numbers are 677/64,164/3740

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 677,164

Least Common Multiple of Numerators i.e. LCM of 677,164 is 111028.

GCF of Denominators means GCF of 64,3740 as per the given fractions.

GCF of 64,3740 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 677,164

LCM of Fractions 677/64,164/3740 is 27757

Given numbers has no common factors except 1. So, there LCM is their product i.e 111028

Least Common Multiple of 677,164 with GCF Formula

Least Common Multiple of 677,164 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 677,164 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(677,164) = 1

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

GCF(677,164) x common factors =1 x 1 = 1

LCM(677,164) = ( 677 × 164 ) / 1

LCM(677,164) = 111028 / 1

LCM(677,164) = 111028


Lets's calculate GCF of 64,3740

2 64, 3740
2 32, 1870
16, 935

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 111028/4

Therefore the LCM of Fractions 677/64,164/3740 is 27757

Greatest Common Factor of 64,3740 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,3740 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

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

Factors of 3740

List of positive integer factors of 3740 that divides 3740 without a remainder.

1,2,4,5,10,11,17,20,22,34,44,55,68,85,110,170,187,220,340,374,748,935,1870,3740

Greatest Common Factor

We found the factors 64,3740 . The biggest common factor number is the GCF number.
So the greatest common factor 64,3740 is 4.


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 677/64, 164/3740

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 677/64, 164/3740?

Answer: LCM of Numerators as per given numbers 677/64, 164/3740 is

LCM of Numerators i.e. for 677,164 is 111028

GCF of denominators i.e. for 64,3740 is 4.

Thus, LCM of Fractions is 27757.Finally, LCM of Fractions for 677/64, 164/3740 is 27757.