Least Common Multiple of 214/84, 534/38, 952/498

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 214/84, 534/38, 952/498 quickly i.e. 13598844 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 214/84, 534/38, 952/498 is 13598844.

LCM(214/84, 534/38, 952/498) = 13598844

LCM of 214/84, 534/38, 952/498

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 214/84,534/38,952/498

Given numbers are 214/84,534/38,952/498

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 214,534,952

Least Common Multiple of Numerators i.e. LCM of 214,534,952 is 27197688.

GCF of Denominators means GCF of 84,38,498 as per the given fractions.

GCF of 84,38,498 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 214,534,952

LCM of Fractions 214/84,534/38,952/498 is 13598844

2 214, 534, 952
107, 267, 476

∴ So the LCM of the given numbers is 2 x 107 x 267 x 476 = 27197688

Least Common Multiple of 214,534,952 with GCF Formula

Least Common Multiple of 214,534,952 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 214,534,952 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(214,534,952) = 2

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

GCF(214,534,952) x common factors =2 x 2 = 4

LCM(214,534,952) = ( 214 × 534 × 952 ) / 4

LCM(214,534,952) = 108790752 / 4

LCM(214,534,952) = 27197688


Lets's calculate GCF of 84,38,498

2 84, 38, 498
42, 19, 249

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27197688/2

Therefore the LCM of Fractions 214/84,534/38,952/498 is 13598844

Greatest Common Factor of 84,38,498 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,38,498 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 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Greatest Common Factor

We found the factors 84,38,498 . The biggest common factor number is the GCF number.
So the greatest common factor 84,38,498 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 214/84, 534/38, 952/498

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 214/84, 534/38, 952/498?

Answer: LCM of Numerators as per given numbers 214/84, 534/38, 952/498 is

LCM of Numerators i.e. for 214,534,952 is 27197688

GCF of denominators i.e. for 84,38,498 is 2.

Thus, LCM of Fractions is 13598844.Finally, LCM of Fractions for 214/84, 534/38, 952/498 is 13598844.