Least Common Multiple of 514/42, 709/74, 176/298

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 514/42, 709/74, 176/298 quickly i.e. 16034744 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 514/42, 709/74, 176/298 is 16034744.

LCM(514/42, 709/74, 176/298) = 16034744

LCM of 514/42, 709/74, 176/298

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 514/42,709/74,176/298

Given numbers are 514/42,709/74,176/298

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 514,709,176

Least Common Multiple of Numerators i.e. LCM of 514,709,176 is 32069488.

GCF of Denominators means GCF of 42,74,298 as per the given fractions.

GCF of 42,74,298 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 514,709,176

LCM of Fractions 514/42,709/74,176/298 is 16034744

2 514, 709, 176
257, 709, 88

∴ So the LCM of the given numbers is 2 x 257 x 709 x 88 = 32069488

Least Common Multiple of 514,709,176 with GCF Formula

Least Common Multiple of 514,709,176 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 514,709,176 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(514,709,176) = 1

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

GCF(514,709,176) x common factors =1 x 2 = 2

LCM(514,709,176) = ( 514 × 709 × 176 ) / 2

LCM(514,709,176) = 64138976 / 2

LCM(514,709,176) = 32069488


Lets's calculate GCF of 42,74,298

2 42, 74, 298
21, 37, 149

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32069488/2

Therefore the LCM of Fractions 514/42,709/74,176/298 is 16034744

Greatest Common Factor of 42,74,298 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,74,298 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 298

List of positive integer factors of 298 that divides 298 without a remainder.

1,2,149,298

Greatest Common Factor

We found the factors 42,74,298 . The biggest common factor number is the GCF number.
So the greatest common factor 42,74,298 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 514/42, 709/74, 176/298

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 514/42, 709/74, 176/298?

Answer: LCM of Numerators as per given numbers 514/42, 709/74, 176/298 is

LCM of Numerators i.e. for 514,709,176 is 32069488

GCF of denominators i.e. for 42,74,298 is 2.

Thus, LCM of Fractions is 16034744.Finally, LCM of Fractions for 514/42, 709/74, 176/298 is 16034744.