Least Common Multiple of 43/170, 52/220, 618/956

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 43/170, 52/220, 618/956 quickly i.e. 345462 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/170, 52/220, 618/956 is 345462.

LCM(43/170, 52/220, 618/956) = 345462

LCM of 43/170, 52/220, 618/956

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 43/170,52/220,618/956

Given numbers are 43/170,52/220,618/956

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 43,52,618

Least Common Multiple of Numerators i.e. LCM of 43,52,618 is 690924.

GCF of Denominators means GCF of 170,220,956 as per the given fractions.

GCF of 170,220,956 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,52,618

LCM of Fractions 43/170,52/220,618/956 is 345462

2 43, 52, 618
43, 26, 309

∴ So the LCM of the given numbers is 2 x 43 x 26 x 309 = 690924

Least Common Multiple of 43,52,618 with GCF Formula

Least Common Multiple of 43,52,618 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 43,52,618 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,52,618) = 1

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

GCF(43,52,618) x common factors =1 x 2 = 2

LCM(43,52,618) = ( 43 × 52 × 618 ) / 2

LCM(43,52,618) = 1381848 / 2

LCM(43,52,618) = 690924


Lets's calculate GCF of 170,220,956

2 170, 220, 956
85, 110, 478

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 690924/2

Therefore the LCM of Fractions 43/170,52/220,618/956 is 345462

Greatest Common Factor of 170,220,956 By Matching Biggest Common Factor Method

Greatest Common Factor of 170,220,956 By Matching Biggest Common Factor Method

Factors of 170

List of positive integer factors of 170 that divides 170 without a remainder.

1,2,5,10,17,34,85,170

Factors of 220

List of positive integer factors of 220 that divides 220 without a remainder.

1,2,4,5,10,11,20,22,44,55,110,220

Factors of 956

List of positive integer factors of 956 that divides 956 without a remainder.

1,2,4,239,478,956

Greatest Common Factor

We found the factors 170,220,956 . The biggest common factor number is the GCF number.
So the greatest common factor 170,220,956 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 43/170, 52/220, 618/956

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 43/170, 52/220, 618/956?

Answer: LCM of Numerators as per given numbers 43/170, 52/220, 618/956 is

LCM of Numerators i.e. for 43,52,618 is 690924

GCF of denominators i.e. for 170,220,956 is 2.

Thus, LCM of Fractions is 345462.Finally, LCM of Fractions for 43/170, 52/220, 618/956 is 345462.