Least Common Multiple of 385/874, 558/933, 594/235

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 385/874, 558/933, 594/235 quickly i.e. 644490 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 385/874, 558/933, 594/235 is 644490.

LCM(385/874, 558/933, 594/235) = 644490

LCM of 385/874, 558/933, 594/235

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 385/874,558/933,594/235

Given numbers are 385/874,558/933,594/235

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 385,558,594

Least Common Multiple of Numerators i.e. LCM of 385,558,594 is 644490.

GCF of Denominators means GCF of 874,933,235 as per the given fractions.

GCF of 874,933,235 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 385,558,594

LCM of Fractions 385/874,558/933,594/235 is 644490

2 385, 558, 594
3 385, 279, 297
3 385, 93, 99
11 385, 31, 33
35, 31, 3

∴ So the LCM of the given numbers is 2 x 3 x 3 x 11 x 35 x 31 x 3 = 644490

Least Common Multiple of 385,558,594 with GCF Formula

Least Common Multiple of 385,558,594 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 385,558,594 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(385,558,594) = 1

common factors(in case of two or more numbers have common factors) = 198

GCF(385,558,594) x common factors =1 x 198 = 198

LCM(385,558,594) = ( 385 × 558 × 594 ) / 198

LCM(385,558,594) = 127609020 / 198

LCM(385,558,594) = 644490


Lets's calculate GCF of 874,933,235

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 644490/1

Therefore the LCM of Fractions 385/874,558/933,594/235 is 644490

Greatest Common Factor of 874,933,235 By Matching Biggest Common Factor Method

Greatest Common Factor of 874,933,235 By Matching Biggest Common Factor Method

Factors of 874

List of positive integer factors of 874 that divides 874 without a remainder.

1,2,19,23,38,46,437,874

Factors of 933

List of positive integer factors of 933 that divides 933 without a remainder.

1,3,311,933

Factors of 235

List of positive integer factors of 235 that divides 235 without a remainder.

1,5,47,235

Greatest Common Factor

We found the factors 874,933,235 . The biggest common factor number is the GCF number.
So the greatest common factor 874,933,235 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 385/874, 558/933, 594/235

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 385/874, 558/933, 594/235?

Answer: LCM of Numerators as per given numbers 385/874, 558/933, 594/235 is

LCM of Numerators i.e. for 385,558,594 is 644490

GCF of denominators i.e. for 874,933,235 is 1.

Thus, LCM of Fractions is 644490.Finally, LCM of Fractions for 385/874, 558/933, 594/235 is 644490.