Least Common Multiple of 988/28, 920/4234

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 988/28, 920/4234 quickly i.e. 113620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 988/28, 920/4234 is 113620.

LCM(988/28, 920/4234) = 113620

LCM of 988/28, 920/4234

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 988/28,920/4234

Given numbers are 988/28,920/4234

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 988,920

Least Common Multiple of Numerators i.e. LCM of 988,920 is 227240.

GCF of Denominators means GCF of 28,4234 as per the given fractions.

GCF of 28,4234 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 988,920

LCM of Fractions 988/28,920/4234 is 113620

2 988, 920
2 494, 460
247, 230

∴ So the LCM of the given numbers is 2 x 2 x 247 x 230 = 227240

Least Common Multiple of 988,920 with GCF Formula

Least Common Multiple of 988,920 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 988,920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(988,920) = 4

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

GCF(988,920) x common factors =4 x 1 = 4

LCM(988,920) = ( 988 × 920 ) / 4

LCM(988,920) = 908960 / 4

LCM(988,920) = 227240


Lets's calculate GCF of 28,4234

2 28, 4234
14, 2117

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 227240/2

Therefore the LCM of Fractions 988/28,920/4234 is 113620

Greatest Common Factor of 28,4234 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,4234 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 4234

List of positive integer factors of 4234 that divides 4234 without a remainder.

1,2,29,58,73,146,2117,4234

Greatest Common Factor

We found the factors 28,4234 . The biggest common factor number is the GCF number.
So the greatest common factor 28,4234 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 988/28, 920/4234

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 988/28, 920/4234?

Answer: LCM of Numerators as per given numbers 988/28, 920/4234 is

LCM of Numerators i.e. for 988,920 is 227240

GCF of denominators i.e. for 28,4234 is 2.

Thus, LCM of Fractions is 113620.Finally, LCM of Fractions for 988/28, 920/4234 is 113620.