Least Common Multiple of 149/32, 343/7708

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 149/32, 343/7708 quickly i.e. 51107/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 149/32, 343/7708 is 51107/4.

LCM(149/32, 343/7708) = 51107/4

LCM of 149/32, 343/7708

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 149/32,343/7708

Given numbers are 149/32,343/7708

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 149,343

Least Common Multiple of Numerators i.e. LCM of 149,343 is 51107.

GCF of Denominators means GCF of 32,7708 as per the given fractions.

GCF of 32,7708 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 149,343

LCM of Fractions 149/32,343/7708 is 51107/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 51107

Least Common Multiple of 149,343 with GCF Formula

Least Common Multiple of 149,343 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 149,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(149,343) = 1

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

GCF(149,343) x common factors =1 x 1 = 1

LCM(149,343) = ( 149 × 343 ) / 1

LCM(149,343) = 51107 / 1

LCM(149,343) = 51107


Lets's calculate GCF of 32,7708

2 32, 7708
2 16, 3854
8, 1927

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51107/4

Therefore the LCM of Fractions 149/32,343/7708 is 51107/4

Greatest Common Factor of 32,7708 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,7708 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 7708

List of positive integer factors of 7708 that divides 7708 without a remainder.

1,2,4,41,47,82,94,164,188,1927,3854,7708

Greatest Common Factor

We found the factors 32,7708 . The biggest common factor number is the GCF number.
So the greatest common factor 32,7708 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 149/32, 343/7708

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 149/32, 343/7708?

Answer: LCM of Numerators as per given numbers 149/32, 343/7708 is

LCM of Numerators i.e. for 149,343 is 51107

GCF of denominators i.e. for 32,7708 is 4.

Thus, LCM of Fractions is 51107/4.Finally, LCM of Fractions for 149/32, 343/7708 is 51107/4.