Least Common Multiple of 967/344, 600/428, 166/889

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 967/344, 600/428, 166/889 quickly i.e. 48156600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 967/344, 600/428, 166/889 is 48156600.

LCM(967/344, 600/428, 166/889) = 48156600

LCM of 967/344, 600/428, 166/889

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 967/344,600/428,166/889

Given numbers are 967/344,600/428,166/889

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 967,600,166

Least Common Multiple of Numerators i.e. LCM of 967,600,166 is 48156600.

GCF of Denominators means GCF of 344,428,889 as per the given fractions.

GCF of 344,428,889 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 967,600,166

LCM of Fractions 967/344,600/428,166/889 is 48156600

2 967, 600, 166
967, 300, 83

∴ So the LCM of the given numbers is 2 x 967 x 300 x 83 = 48156600

Least Common Multiple of 967,600,166 with GCF Formula

Least Common Multiple of 967,600,166 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 967,600,166 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(967,600,166) = 1

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

GCF(967,600,166) x common factors =1 x 2 = 2

LCM(967,600,166) = ( 967 × 600 × 166 ) / 2

LCM(967,600,166) = 96313200 / 2

LCM(967,600,166) = 48156600


Lets's calculate GCF of 344,428,889

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48156600/1

Therefore the LCM of Fractions 967/344,600/428,166/889 is 48156600

Greatest Common Factor of 344,428,889 By Matching Biggest Common Factor Method

Greatest Common Factor of 344,428,889 By Matching Biggest Common Factor Method

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Factors of 889

List of positive integer factors of 889 that divides 889 without a remainder.

1,7,127,889

Greatest Common Factor

We found the factors 344,428,889 . The biggest common factor number is the GCF number.
So the greatest common factor 344,428,889 is 1.


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 967/344, 600/428, 166/889

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 967/344, 600/428, 166/889?

Answer: LCM of Numerators as per given numbers 967/344, 600/428, 166/889 is

LCM of Numerators i.e. for 967,600,166 is 48156600

GCF of denominators i.e. for 344,428,889 is 1.

Thus, LCM of Fractions is 48156600.Finally, LCM of Fractions for 967/344, 600/428, 166/889 is 48156600.