Least Common Multiple of 40/350, 3161/2930

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/350, 3161/2930 quickly i.e. 12644 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/350, 3161/2930 is 12644.

LCM(40/350, 3161/2930) = 12644

LCM of 40/350, 3161/2930

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 40/350,3161/2930

Given numbers are 40/350,3161/2930

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 40,3161

Least Common Multiple of Numerators i.e. LCM of 40,3161 is 126440.

GCF of Denominators means GCF of 350,2930 as per the given fractions.

GCF of 350,2930 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,3161

LCM of Fractions 40/350,3161/2930 is 12644

Given numbers has no common factors except 1. So, there LCM is their product i.e 126440

Least Common Multiple of 40,3161 with GCF Formula

Least Common Multiple of 40,3161 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 40,3161 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,3161) = 1

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

GCF(40,3161) x common factors =1 x 1 = 1

LCM(40,3161) = ( 40 × 3161 ) / 1

LCM(40,3161) = 126440 / 1

LCM(40,3161) = 126440


Lets's calculate GCF of 350,2930

2 350, 2930
5 175, 1465
35, 293

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 126440/10

Therefore the LCM of Fractions 40/350,3161/2930 is 12644

Greatest Common Factor of 350,2930 By Matching Biggest Common Factor Method

Greatest Common Factor of 350,2930 By Matching Biggest Common Factor Method

Factors of 350

List of positive integer factors of 350 that divides 350 without a remainder.

1,2,5,7,10,14,25,35,50,70,175,350

Factors of 2930

List of positive integer factors of 2930 that divides 2930 without a remainder.

1,2,5,10,293,586,1465,2930

Greatest Common Factor

We found the factors 350,2930 . The biggest common factor number is the GCF number.
So the greatest common factor 350,2930 is 10.


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 40/350, 3161/2930

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 40/350, 3161/2930?

Answer: LCM of Numerators as per given numbers 40/350, 3161/2930 is

LCM of Numerators i.e. for 40,3161 is 126440

GCF of denominators i.e. for 350,2930 is 10.

Thus, LCM of Fractions is 12644.Finally, LCM of Fractions for 40/350, 3161/2930 is 12644.