Least Common Multiple of 596/84, 175/546

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 596/84, 175/546 quickly i.e. 104300/42 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 596/84, 175/546 is 104300/42.

LCM(596/84, 175/546) = 104300/42

LCM of 596/84, 175/546

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 596/84,175/546

Given numbers are 596/84,175/546

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 596,175

Least Common Multiple of Numerators i.e. LCM of 596,175 is 104300.

GCF of Denominators means GCF of 84,546 as per the given fractions.

GCF of 84,546 is 42 as it is the largest common factor for these numbers.

Lets's calculate LCM of 596,175

LCM of Fractions 596/84,175/546 is 104300/42

Given numbers has no common factors except 1. So, there LCM is their product i.e 104300

Least Common Multiple of 596,175 with GCF Formula

Least Common Multiple of 596,175 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 596,175 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(596,175) = 1

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

GCF(596,175) x common factors =1 x 1 = 1

LCM(596,175) = ( 596 × 175 ) / 1

LCM(596,175) = 104300 / 1

LCM(596,175) = 104300


Lets's calculate GCF of 84,546

2 84, 546
3 42, 273
7 14, 91
2, 13

∴ So the GCF of the given numbers is 2 x 3 x 7 = 42

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 104300/42

Therefore the LCM of Fractions 596/84,175/546 is 104300/42

Greatest Common Factor of 84,546 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,546 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 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Greatest Common Factor

We found the factors 84,546 . The biggest common factor number is the GCF number.
So the greatest common factor 84,546 is 42.


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 596/84, 175/546

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 596/84, 175/546?

Answer: LCM of Numerators as per given numbers 596/84, 175/546 is

LCM of Numerators i.e. for 596,175 is 104300

GCF of denominators i.e. for 84,546 is 42.

Thus, LCM of Fractions is 104300/42.Finally, LCM of Fractions for 596/84, 175/546 is 104300/42.