Least Common Multiple of 514/704, 4714/528

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 514/704, 4714/528 quickly i.e. 1211498/176 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 514/704, 4714/528 is 1211498/176.

LCM(514/704, 4714/528) = 1211498/176

LCM of 514/704, 4714/528

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 514/704,4714/528

Given numbers are 514/704,4714/528

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 514,4714

Least Common Multiple of Numerators i.e. LCM of 514,4714 is 1211498.

GCF of Denominators means GCF of 704,528 as per the given fractions.

GCF of 704,528 is 176 as it is the largest common factor for these numbers.

Lets's calculate LCM of 514,4714

LCM of Fractions 514/704,4714/528 is 1211498/176

2 514, 4714
257, 2357

∴ So the LCM of the given numbers is 2 x 257 x 2357 = 1211498

Least Common Multiple of 514,4714 with GCF Formula

Least Common Multiple of 514,4714 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 514,4714 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(514,4714) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(514,4714) x common factors =2 x 1 = 2

LCM(514,4714) = ( 514 × 4714 ) / 2

LCM(514,4714) = 2422996 / 2

LCM(514,4714) = 1211498


Lets's calculate GCF of 704,528

2 704, 528
2 352, 264
2 176, 132
2 88, 66
11 44, 33
4, 3

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 11 = 176

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1211498/176

Therefore the LCM of Fractions 514/704,4714/528 is 1211498/176

Greatest Common Factor of 704,528 By Matching Biggest Common Factor Method

Greatest Common Factor of 704,528 By Matching Biggest Common Factor Method

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Factors of 528

List of positive integer factors of 528 that divides 528 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528

Greatest Common Factor

We found the factors 704,528 . The biggest common factor number is the GCF number.
So the greatest common factor 704,528 is 176.


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 514/704, 4714/528

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 514/704, 4714/528?

Answer: LCM of Numerators as per given numbers 514/704, 4714/528 is

LCM of Numerators i.e. for 514,4714 is 1211498

GCF of denominators i.e. for 704,528 is 176.

Thus, LCM of Fractions is 1211498/176.Finally, LCM of Fractions for 514/704, 4714/528 is 1211498/176.