Least Common Multiple of 14/55, 89/145, 988/220

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/55, 89/145, 988/220 quickly i.e. 615524/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/55, 89/145, 988/220 is 615524/5.

LCM(14/55, 89/145, 988/220) = 615524/5

LCM of 14/55, 89/145, 988/220

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 14/55,89/145,988/220

Given numbers are 14/55,89/145,988/220

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 14,89,988

Least Common Multiple of Numerators i.e. LCM of 14,89,988 is 615524.

GCF of Denominators means GCF of 55,145,220 as per the given fractions.

GCF of 55,145,220 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,89,988

LCM of Fractions 14/55,89/145,988/220 is 615524/5

2 14, 89, 988
7, 89, 494

∴ So the LCM of the given numbers is 2 x 7 x 89 x 494 = 615524

Least Common Multiple of 14,89,988 with GCF Formula

Least Common Multiple of 14,89,988 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 14,89,988 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,89,988) = 1

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

GCF(14,89,988) x common factors =1 x 2 = 2

LCM(14,89,988) = ( 14 × 89 × 988 ) / 2

LCM(14,89,988) = 1231048 / 2

LCM(14,89,988) = 615524


Lets's calculate GCF of 55,145,220

5 55, 145, 220
11, 29, 44

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 615524/5

Therefore the LCM of Fractions 14/55,89/145,988/220 is 615524/5

Greatest Common Factor of 55,145,220 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,145,220 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 145

List of positive integer factors of 145 that divides 145 without a remainder.

1,5,29,145

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

Greatest Common Factor

We found the factors 55,145,220 . The biggest common factor number is the GCF number.
So the greatest common factor 55,145,220 is 5.


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 14/55, 89/145, 988/220

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 14/55, 89/145, 988/220?

Answer: LCM of Numerators as per given numbers 14/55, 89/145, 988/220 is

LCM of Numerators i.e. for 14,89,988 is 615524

GCF of denominators i.e. for 55,145,220 is 5.

Thus, LCM of Fractions is 615524/5.Finally, LCM of Fractions for 14/55, 89/145, 988/220 is 615524/5.