Least Common Multiple of 46/82, 70/62, 131/110

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/82, 70/62, 131/110 quickly i.e. 105455 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/82, 70/62, 131/110 is 105455.

LCM(46/82, 70/62, 131/110) = 105455

LCM of 46/82, 70/62, 131/110

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 46/82,70/62,131/110

Given numbers are 46/82,70/62,131/110

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 46,70,131

Least Common Multiple of Numerators i.e. LCM of 46,70,131 is 210910.

GCF of Denominators means GCF of 82,62,110 as per the given fractions.

GCF of 82,62,110 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,70,131

LCM of Fractions 46/82,70/62,131/110 is 105455

2 46, 70, 131
23, 35, 131

∴ So the LCM of the given numbers is 2 x 23 x 35 x 131 = 210910

Least Common Multiple of 46,70,131 with GCF Formula

Least Common Multiple of 46,70,131 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 46,70,131 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,70,131) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(46,70,131) x common factors =1 x 2 = 2

LCM(46,70,131) = ( 46 × 70 × 131 ) / 2

LCM(46,70,131) = 421820 / 2

LCM(46,70,131) = 210910


Lets's calculate GCF of 82,62,110

2 82, 62, 110
41, 31, 55

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 210910/2

Therefore the LCM of Fractions 46/82,70/62,131/110 is 105455

Greatest Common Factor of 82,62,110 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,62,110 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 110

List of positive integer factors of 110 that divides 110 without a remainder.

1,2,5,10,11,22,55,110

Greatest Common Factor

We found the factors 82,62,110 . The biggest common factor number is the GCF number.
So the greatest common factor 82,62,110 is 2.


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 46/82, 70/62, 131/110

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 46/82, 70/62, 131/110?

Answer: LCM of Numerators as per given numbers 46/82, 70/62, 131/110 is

LCM of Numerators i.e. for 46,70,131 is 210910

GCF of denominators i.e. for 82,62,110 is 2.

Thus, LCM of Fractions is 105455.Finally, LCM of Fractions for 46/82, 70/62, 131/110 is 105455.