Least Common Multiple of 488/84, 182/7084

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 488/84, 182/7084 quickly i.e. 1586 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 488/84, 182/7084 is 1586.

LCM(488/84, 182/7084) = 1586

LCM of 488/84, 182/7084

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 488/84,182/7084

Given numbers are 488/84,182/7084

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 488,182

Least Common Multiple of Numerators i.e. LCM of 488,182 is 44408.

GCF of Denominators means GCF of 84,7084 as per the given fractions.

GCF of 84,7084 is 28 as it is the largest common factor for these numbers.

Lets's calculate LCM of 488,182

LCM of Fractions 488/84,182/7084 is 1586

2 488, 182
244, 91

∴ So the LCM of the given numbers is 2 x 244 x 91 = 44408

Least Common Multiple of 488,182 with GCF Formula

Least Common Multiple of 488,182 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 488,182 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(488,182) = 2

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

GCF(488,182) x common factors =2 x 1 = 2

LCM(488,182) = ( 488 × 182 ) / 2

LCM(488,182) = 88816 / 2

LCM(488,182) = 44408


Lets's calculate GCF of 84,7084

2 84, 7084
2 42, 3542
7 21, 1771
3, 253

∴ So the GCF of the given numbers is 2 x 2 x 7 = 28

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44408/28

Therefore the LCM of Fractions 488/84,182/7084 is 1586

Greatest Common Factor of 84,7084 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,7084 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 7084

List of positive integer factors of 7084 that divides 7084 without a remainder.

1,2,4,7,11,14,22,23,28,44,46,77,92,154,161,253,308,322,506,644,1012,1771,3542,7084

Greatest Common Factor

We found the factors 84,7084 . The biggest common factor number is the GCF number.
So the greatest common factor 84,7084 is 28.


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 488/84, 182/7084

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 488/84, 182/7084?

Answer: LCM of Numerators as per given numbers 488/84, 182/7084 is

LCM of Numerators i.e. for 488,182 is 44408

GCF of denominators i.e. for 84,7084 is 28.

Thus, LCM of Fractions is 1586.Finally, LCM of Fractions for 488/84, 182/7084 is 1586.