Least Common Multiple of 340/949, 5161/468

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 340/949, 5161/468 quickly i.e. 134980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 340/949, 5161/468 is 134980.

LCM(340/949, 5161/468) = 134980

LCM of 340/949, 5161/468

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 340/949,5161/468

Given numbers are 340/949,5161/468

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 340,5161

Least Common Multiple of Numerators i.e. LCM of 340,5161 is 1754740.

GCF of Denominators means GCF of 949,468 as per the given fractions.

GCF of 949,468 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 340,5161

LCM of Fractions 340/949,5161/468 is 134980

Given numbers has no common factors except 1. So, there LCM is their product i.e 1754740

Least Common Multiple of 340,5161 with GCF Formula

Least Common Multiple of 340,5161 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 340,5161 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(340,5161) = 1

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

GCF(340,5161) x common factors =1 x 1 = 1

LCM(340,5161) = ( 340 × 5161 ) / 1

LCM(340,5161) = 1754740 / 1

LCM(340,5161) = 1754740


Lets's calculate GCF of 949,468

13 949, 468
73, 36

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1754740/13

Therefore the LCM of Fractions 340/949,5161/468 is 134980

Greatest Common Factor of 949,468 By Matching Biggest Common Factor Method

Greatest Common Factor of 949,468 By Matching Biggest Common Factor Method

Factors of 949

List of positive integer factors of 949 that divides 949 without a remainder.

1,13,73,949

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Greatest Common Factor

We found the factors 949,468 . The biggest common factor number is the GCF number.
So the greatest common factor 949,468 is 13.


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 340/949, 5161/468

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 340/949, 5161/468?

Answer: LCM of Numerators as per given numbers 340/949, 5161/468 is

LCM of Numerators i.e. for 340,5161 is 1754740

GCF of denominators i.e. for 949,468 is 13.

Thus, LCM of Fractions is 134980.Finally, LCM of Fractions for 340/949, 5161/468 is 134980.