Least Common Multiple of 514/550, 176/548, 304/740

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 514/550, 176/548, 304/740 quickly i.e. 429704 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 514/550, 176/548, 304/740 is 429704.

LCM(514/550, 176/548, 304/740) = 429704

LCM of 514/550, 176/548, 304/740

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 514/550,176/548,304/740

Given numbers are 514/550,176/548,304/740

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 514,176,304

Least Common Multiple of Numerators i.e. LCM of 514,176,304 is 859408.

GCF of Denominators means GCF of 550,548,740 as per the given fractions.

GCF of 550,548,740 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 514,176,304

LCM of Fractions 514/550,176/548,304/740 is 429704

2 514, 176, 304
2 257, 88, 152
2 257, 44, 76
2 257, 22, 38
257, 11, 19

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 257 x 11 x 19 = 859408

Least Common Multiple of 514,176,304 with GCF Formula

Least Common Multiple of 514,176,304 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 514,176,304 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(514,176,304) = 2

common factors(in case of two or more numbers have common factors) = 16

GCF(514,176,304) x common factors =2 x 16 = 32

LCM(514,176,304) = ( 514 × 176 × 304 ) / 32

LCM(514,176,304) = 27501056 / 32

LCM(514,176,304) = 859408


Lets's calculate GCF of 550,548,740

2 550, 548, 740
275, 274, 370

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 859408/2

Therefore the LCM of Fractions 514/550,176/548,304/740 is 429704

Greatest Common Factor of 550,548,740 By Matching Biggest Common Factor Method

Greatest Common Factor of 550,548,740 By Matching Biggest Common Factor Method

Factors of 550

List of positive integer factors of 550 that divides 550 without a remainder.

1,2,5,10,11,22,25,50,55,110,275,550

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1,2,4,5,10,20,37,74,148,185,370,740

Greatest Common Factor

We found the factors 550,548,740 . The biggest common factor number is the GCF number.
So the greatest common factor 550,548,740 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 514/550, 176/548, 304/740

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 514/550, 176/548, 304/740?

Answer: LCM of Numerators as per given numbers 514/550, 176/548, 304/740 is

LCM of Numerators i.e. for 514,176,304 is 859408

GCF of denominators i.e. for 550,548,740 is 2.

Thus, LCM of Fractions is 429704.Finally, LCM of Fractions for 514/550, 176/548, 304/740 is 429704.