Least Common Multiple of 93/614, 429/189, 119/146

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 93/614, 429/189, 119/146 quickly i.e. 1582581 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 93/614, 429/189, 119/146 is 1582581.

LCM(93/614, 429/189, 119/146) = 1582581

LCM of 93/614, 429/189, 119/146

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 93/614,429/189,119/146

Given numbers are 93/614,429/189,119/146

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 93,429,119

Least Common Multiple of Numerators i.e. LCM of 93,429,119 is 1582581.

GCF of Denominators means GCF of 614,189,146 as per the given fractions.

GCF of 614,189,146 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 93,429,119

LCM of Fractions 93/614,429/189,119/146 is 1582581

3 93, 429, 119
31, 143, 119

∴ So the LCM of the given numbers is 3 x 31 x 143 x 119 = 1582581

Least Common Multiple of 93,429,119 with GCF Formula

Least Common Multiple of 93,429,119 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 93,429,119 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,429,119) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(93,429,119) x common factors =1 x 3 = 3

LCM(93,429,119) = ( 93 × 429 × 119 ) / 3

LCM(93,429,119) = 4747743 / 3

LCM(93,429,119) = 1582581


Lets's calculate GCF of 614,189,146

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1582581/1

Therefore the LCM of Fractions 93/614,429/189,119/146 is 1582581

Greatest Common Factor of 614,189,146 By Matching Biggest Common Factor Method

Greatest Common Factor of 614,189,146 By Matching Biggest Common Factor Method

Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1,2,307,614

Factors of 189

List of positive integer factors of 189 that divides 189 without a remainder.

1,3,7,9,21,27,63,189

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Greatest Common Factor

We found the factors 614,189,146 . The biggest common factor number is the GCF number.
So the greatest common factor 614,189,146 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 93/614, 429/189, 119/146

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 93/614, 429/189, 119/146?

Answer: LCM of Numerators as per given numbers 93/614, 429/189, 119/146 is

LCM of Numerators i.e. for 93,429,119 is 1582581

GCF of denominators i.e. for 614,189,146 is 1.

Thus, LCM of Fractions is 1582581.Finally, LCM of Fractions for 93/614, 429/189, 119/146 is 1582581.