Least Common Multiple of 89/744, 14/166, 889/534

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/744, 14/166, 889/534 quickly i.e. 79121 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/744, 14/166, 889/534 is 79121.

LCM(89/744, 14/166, 889/534) = 79121

LCM of 89/744, 14/166, 889/534

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 89/744,14/166,889/534

Given numbers are 89/744,14/166,889/534

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 89,14,889

Least Common Multiple of Numerators i.e. LCM of 89,14,889 is 158242.

GCF of Denominators means GCF of 744,166,534 as per the given fractions.

GCF of 744,166,534 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,14,889

LCM of Fractions 89/744,14/166,889/534 is 79121

7 89, 14, 889
89, 2, 127

∴ So the LCM of the given numbers is 7 x 89 x 2 x 127 = 158242

Least Common Multiple of 89,14,889 with GCF Formula

Least Common Multiple of 89,14,889 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 89,14,889 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,14,889) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(89,14,889) x common factors =1 x 7 = 7

LCM(89,14,889) = ( 89 × 14 × 889 ) / 7

LCM(89,14,889) = 1107694 / 7

LCM(89,14,889) = 158242


Lets's calculate GCF of 744,166,534

2 744, 166, 534
372, 83, 267

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 158242/2

Therefore the LCM of Fractions 89/744,14/166,889/534 is 79121

Greatest Common Factor of 744,166,534 By Matching Biggest Common Factor Method

Greatest Common Factor of 744,166,534 By Matching Biggest Common Factor Method

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Factors of 166

List of positive integer factors of 166 that divides 166 without a remainder.

1,2,83,166

Factors of 534

List of positive integer factors of 534 that divides 534 without a remainder.

1,2,3,6,89,178,267,534

Greatest Common Factor

We found the factors 744,166,534 . The biggest common factor number is the GCF number.
So the greatest common factor 744,166,534 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 89/744, 14/166, 889/534

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 89/744, 14/166, 889/534?

Answer: LCM of Numerators as per given numbers 89/744, 14/166, 889/534 is

LCM of Numerators i.e. for 89,14,889 is 158242

GCF of denominators i.e. for 744,166,534 is 2.

Thus, LCM of Fractions is 79121.Finally, LCM of Fractions for 89/744, 14/166, 889/534 is 79121.