Least Common Multiple of 46/850, 39/634, 945/938

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/850, 39/634, 945/938 quickly i.e. 282555 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/850, 39/634, 945/938 is 282555.

LCM(46/850, 39/634, 945/938) = 282555

LCM of 46/850, 39/634, 945/938

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 46/850,39/634,945/938

Given numbers are 46/850,39/634,945/938

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 46,39,945

Least Common Multiple of Numerators i.e. LCM of 46,39,945 is 565110.

GCF of Denominators means GCF of 850,634,938 as per the given fractions.

GCF of 850,634,938 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,39,945

LCM of Fractions 46/850,39/634,945/938 is 282555

3 46, 39, 945
46, 13, 315

∴ So the LCM of the given numbers is 3 x 46 x 13 x 315 = 565110

Least Common Multiple of 46,39,945 with GCF Formula

Least Common Multiple of 46,39,945 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 46,39,945 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,39,945) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(46,39,945) x common factors =1 x 3 = 3

LCM(46,39,945) = ( 46 × 39 × 945 ) / 3

LCM(46,39,945) = 1695330 / 3

LCM(46,39,945) = 565110


Lets's calculate GCF of 850,634,938

2 850, 634, 938
425, 317, 469

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 565110/2

Therefore the LCM of Fractions 46/850,39/634,945/938 is 282555

Greatest Common Factor of 850,634,938 By Matching Biggest Common Factor Method

Greatest Common Factor of 850,634,938 By Matching Biggest Common Factor Method

Factors of 850

List of positive integer factors of 850 that divides 850 without a remainder.

1,2,5,10,17,25,34,50,85,170,425,850

Factors of 634

List of positive integer factors of 634 that divides 634 without a remainder.

1,2,317,634

Factors of 938

List of positive integer factors of 938 that divides 938 without a remainder.

1,2,7,14,67,134,469,938

Greatest Common Factor

We found the factors 850,634,938 . The biggest common factor number is the GCF number.
So the greatest common factor 850,634,938 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 46/850, 39/634, 945/938

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 46/850, 39/634, 945/938?

Answer: LCM of Numerators as per given numbers 46/850, 39/634, 945/938 is

LCM of Numerators i.e. for 46,39,945 is 565110

GCF of denominators i.e. for 850,634,938 is 2.

Thus, LCM of Fractions is 282555.Finally, LCM of Fractions for 46/850, 39/634, 945/938 is 282555.