Least Common Multiple of 385/84, 938/4704

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 385/84, 938/4704 quickly i.e. 51590/84 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 385/84, 938/4704 is 51590/84.

LCM(385/84, 938/4704) = 51590/84

LCM of 385/84, 938/4704

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 385/84,938/4704

Given numbers are 385/84,938/4704

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 385,938

Least Common Multiple of Numerators i.e. LCM of 385,938 is 51590.

GCF of Denominators means GCF of 84,4704 as per the given fractions.

GCF of 84,4704 is 84 as it is the largest common factor for these numbers.

Lets's calculate LCM of 385,938

LCM of Fractions 385/84,938/4704 is 51590/84

7 385, 938
55, 134

∴ So the LCM of the given numbers is 7 x 55 x 134 = 51590

Least Common Multiple of 385,938 with GCF Formula

Least Common Multiple of 385,938 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 385,938 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(385,938) = 7

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

GCF(385,938) x common factors =7 x 1 = 7

LCM(385,938) = ( 385 × 938 ) / 7

LCM(385,938) = 361130 / 7

LCM(385,938) = 51590


Lets's calculate GCF of 84,4704

2 84, 4704
2 42, 2352
3 21, 1176
7 7, 392
1, 56

∴ So the GCF of the given numbers is 2 x 2 x 3 x 7 = 84

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51590/84

Therefore the LCM of Fractions 385/84,938/4704 is 51590/84

Greatest Common Factor of 84,4704 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,4704 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 4704

List of positive integer factors of 4704 that divides 4704 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,49,56,84,96,98,112,147,168,196,224,294,336,392,588,672,784,1176,1568,2352,4704

Greatest Common Factor

We found the factors 84,4704 . The biggest common factor number is the GCF number.
So the greatest common factor 84,4704 is 84.


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 385/84, 938/4704

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 385/84, 938/4704?

Answer: LCM of Numerators as per given numbers 385/84, 938/4704 is

LCM of Numerators i.e. for 385,938 is 51590

GCF of denominators i.e. for 84,4704 is 84.

Thus, LCM of Fractions is 51590/84.Finally, LCM of Fractions for 385/84, 938/4704 is 51590/84.