Least Common Multiple of 534/84, 7455/708

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 534/84, 7455/708 quickly i.e. 1326990/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 534/84, 7455/708 is 1326990/12.

LCM(534/84, 7455/708) = 1326990/12

LCM of 534/84, 7455/708

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 534/84,7455/708

Given numbers are 534/84,7455/708

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 534,7455

Least Common Multiple of Numerators i.e. LCM of 534,7455 is 1326990.

GCF of Denominators means GCF of 84,708 as per the given fractions.

GCF of 84,708 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 534,7455

LCM of Fractions 534/84,7455/708 is 1326990/12

3 534, 7455
178, 2485

∴ So the LCM of the given numbers is 3 x 178 x 2485 = 1326990

Least Common Multiple of 534,7455 with GCF Formula

Least Common Multiple of 534,7455 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 534,7455 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(534,7455) = 3

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

GCF(534,7455) x common factors =3 x 1 = 3

LCM(534,7455) = ( 534 × 7455 ) / 3

LCM(534,7455) = 3980970 / 3

LCM(534,7455) = 1326990


Lets's calculate GCF of 84,708

2 84, 708
2 42, 354
3 21, 177
7, 59

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1326990/12

Therefore the LCM of Fractions 534/84,7455/708 is 1326990/12

Greatest Common Factor of 84,708 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,708 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Greatest Common Factor

We found the factors 84,708 . The biggest common factor number is the GCF number.
So the greatest common factor 84,708 is 12.


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 534/84, 7455/708

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 534/84, 7455/708?

Answer: LCM of Numerators as per given numbers 534/84, 7455/708 is

LCM of Numerators i.e. for 534,7455 is 1326990

GCF of denominators i.e. for 84,708 is 12.

Thus, LCM of Fractions is 1326990/12.Finally, LCM of Fractions for 534/84, 7455/708 is 1326990/12.