Least Common Multiple of 938/823, 1934/3496

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 938/823, 1934/3496 quickly i.e. 907046 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 938/823, 1934/3496 is 907046.

LCM(938/823, 1934/3496) = 907046

LCM of 938/823, 1934/3496

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 938/823,1934/3496

Given numbers are 938/823,1934/3496

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 938,1934

Least Common Multiple of Numerators i.e. LCM of 938,1934 is 907046.

GCF of Denominators means GCF of 823,3496 as per the given fractions.

GCF of 823,3496 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 938,1934

LCM of Fractions 938/823,1934/3496 is 907046

2 938, 1934
469, 967

∴ So the LCM of the given numbers is 2 x 469 x 967 = 907046

Least Common Multiple of 938,1934 with GCF Formula

Least Common Multiple of 938,1934 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 938,1934 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(938,1934) = 2

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

GCF(938,1934) x common factors =2 x 1 = 2

LCM(938,1934) = ( 938 × 1934 ) / 2

LCM(938,1934) = 1814092 / 2

LCM(938,1934) = 907046


Lets's calculate GCF of 823,3496

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 907046/1

Therefore the LCM of Fractions 938/823,1934/3496 is 907046

Greatest Common Factor of 823,3496 By Matching Biggest Common Factor Method

Greatest Common Factor of 823,3496 By Matching Biggest Common Factor Method

Factors of 823

List of positive integer factors of 823 that divides 823 without a remainder.

1,823

Factors of 3496

List of positive integer factors of 3496 that divides 3496 without a remainder.

1,2,4,8,19,23,38,46,76,92,152,184,437,874,1748,3496

Greatest Common Factor

We found the factors 823,3496 . The biggest common factor number is the GCF number.
So the greatest common factor 823,3496 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 938/823, 1934/3496

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 938/823, 1934/3496?

Answer: LCM of Numerators as per given numbers 938/823, 1934/3496 is

LCM of Numerators i.e. for 938,1934 is 907046

GCF of denominators i.e. for 823,3496 is 1.

Thus, LCM of Fractions is 907046.Finally, LCM of Fractions for 938/823, 1934/3496 is 907046.