Least Common Multiple of 33/853, 86/740, 938/914

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 33/853, 86/740, 938/914 quickly i.e. 1331022 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/853, 86/740, 938/914 is 1331022.

LCM(33/853, 86/740, 938/914) = 1331022

LCM of 33/853, 86/740, 938/914

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 33/853,86/740,938/914

Given numbers are 33/853,86/740,938/914

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 33,86,938

Least Common Multiple of Numerators i.e. LCM of 33,86,938 is 1331022.

GCF of Denominators means GCF of 853,740,914 as per the given fractions.

GCF of 853,740,914 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,86,938

LCM of Fractions 33/853,86/740,938/914 is 1331022

2 33, 86, 938
33, 43, 469

∴ So the LCM of the given numbers is 2 x 33 x 43 x 469 = 1331022

Least Common Multiple of 33,86,938 with GCF Formula

Least Common Multiple of 33,86,938 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 33,86,938 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,86,938) = 1

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

GCF(33,86,938) x common factors =1 x 2 = 2

LCM(33,86,938) = ( 33 × 86 × 938 ) / 2

LCM(33,86,938) = 2662044 / 2

LCM(33,86,938) = 1331022


Lets's calculate GCF of 853,740,914

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1331022/1

Therefore the LCM of Fractions 33/853,86/740,938/914 is 1331022

Greatest Common Factor of 853,740,914 By Matching Biggest Common Factor Method

Greatest Common Factor of 853,740,914 By Matching Biggest Common Factor Method

Factors of 853

List of positive integer factors of 853 that divides 853 without a remainder.

1,853

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1,2,4,5,10,20,37,74,148,185,370,740

Factors of 914

List of positive integer factors of 914 that divides 914 without a remainder.

1,2,457,914

Greatest Common Factor

We found the factors 853,740,914 . The biggest common factor number is the GCF number.
So the greatest common factor 853,740,914 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 33/853, 86/740, 938/914

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 33/853, 86/740, 938/914?

Answer: LCM of Numerators as per given numbers 33/853, 86/740, 938/914 is

LCM of Numerators i.e. for 33,86,938 is 1331022

GCF of denominators i.e. for 853,740,914 is 1.

Thus, LCM of Fractions is 1331022.Finally, LCM of Fractions for 33/853, 86/740, 938/914 is 1331022.