Least Common Multiple of 189/54, 908/62, 630/414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 189/54, 908/62, 630/414 quickly i.e. 429030 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 189/54, 908/62, 630/414 is 429030.

LCM(189/54, 908/62, 630/414) = 429030

LCM of 189/54, 908/62, 630/414

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 189/54,908/62,630/414

Given numbers are 189/54,908/62,630/414

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 189,908,630

Least Common Multiple of Numerators i.e. LCM of 189,908,630 is 858060.

GCF of Denominators means GCF of 54,62,414 as per the given fractions.

GCF of 54,62,414 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 189,908,630

LCM of Fractions 189/54,908/62,630/414 is 429030

2 189, 908, 630
3 189, 454, 315
3 63, 454, 105
7 21, 454, 35
3, 454, 5

∴ So the LCM of the given numbers is 2 x 3 x 3 x 7 x 3 x 454 x 5 = 858060

Least Common Multiple of 189,908,630 with GCF Formula

Least Common Multiple of 189,908,630 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 189,908,630 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(189,908,630) = 1

common factors(in case of two or more numbers have common factors) = 126

GCF(189,908,630) x common factors =1 x 126 = 126

LCM(189,908,630) = ( 189 × 908 × 630 ) / 126

LCM(189,908,630) = 108115560 / 126

LCM(189,908,630) = 858060


Lets's calculate GCF of 54,62,414

2 54, 62, 414
27, 31, 207

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 858060/2

Therefore the LCM of Fractions 189/54,908/62,630/414 is 429030

Greatest Common Factor of 54,62,414 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,62,414 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Greatest Common Factor

We found the factors 54,62,414 . The biggest common factor number is the GCF number.
So the greatest common factor 54,62,414 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 189/54, 908/62, 630/414

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 189/54, 908/62, 630/414?

Answer: LCM of Numerators as per given numbers 189/54, 908/62, 630/414 is

LCM of Numerators i.e. for 189,908,630 is 858060

GCF of denominators i.e. for 54,62,414 is 2.

Thus, LCM of Fractions is 429030.Finally, LCM of Fractions for 189/54, 908/62, 630/414 is 429030.