Least Common Multiple of 16/122, 893/268, 489/737

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 16/122, 893/268, 489/737 quickly i.e. 6986832 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/122, 893/268, 489/737 is 6986832.

LCM(16/122, 893/268, 489/737) = 6986832

LCM of 16/122, 893/268, 489/737

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 16/122,893/268,489/737

Given numbers are 16/122,893/268,489/737

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 16,893,489

Least Common Multiple of Numerators i.e. LCM of 16,893,489 is 6986832.

GCF of Denominators means GCF of 122,268,737 as per the given fractions.

GCF of 122,268,737 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,893,489

LCM of Fractions 16/122,893/268,489/737 is 6986832

Given numbers has no common factors except 1. So, there LCM is their product i.e 6986832

Least Common Multiple of 16,893,489 with GCF Formula

Least Common Multiple of 16,893,489 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 16,893,489 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,893,489) = 1

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

GCF(16,893,489) x common factors =1 x 1 = 1

LCM(16,893,489) = ( 16 × 893 × 489 ) / 1

LCM(16,893,489) = 6986832 / 1

LCM(16,893,489) = 6986832


Lets's calculate GCF of 122,268,737

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6986832/1

Therefore the LCM of Fractions 16/122,893/268,489/737 is 6986832

Greatest Common Factor of 122,268,737 By Matching Biggest Common Factor Method

Greatest Common Factor of 122,268,737 By Matching Biggest Common Factor Method

Factors of 122

List of positive integer factors of 122 that divides 122 without a remainder.

1,2,61,122

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

Factors of 737

List of positive integer factors of 737 that divides 737 without a remainder.

1,11,67,737

Greatest Common Factor

We found the factors 122,268,737 . The biggest common factor number is the GCF number.
So the greatest common factor 122,268,737 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 16/122, 893/268, 489/737

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 16/122, 893/268, 489/737?

Answer: LCM of Numerators as per given numbers 16/122, 893/268, 489/737 is

LCM of Numerators i.e. for 16,893,489 is 6986832

GCF of denominators i.e. for 122,268,737 is 1.

Thus, LCM of Fractions is 6986832.Finally, LCM of Fractions for 16/122, 893/268, 489/737 is 6986832.