Least Common Multiple of 5416/124, 5078/178

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5416/124, 5078/178 quickly i.e. 6875612 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5416/124, 5078/178 is 6875612.

LCM(5416/124, 5078/178) = 6875612

LCM of 5416/124, 5078/178

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 5416/124,5078/178

Given numbers are 5416/124,5078/178

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 5416,5078

Least Common Multiple of Numerators i.e. LCM of 5416,5078 is 13751224.

GCF of Denominators means GCF of 124,178 as per the given fractions.

GCF of 124,178 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5416,5078

LCM of Fractions 5416/124,5078/178 is 6875612

2 5416, 5078
2708, 2539

∴ So the LCM of the given numbers is 2 x 2708 x 2539 = 13751224

Least Common Multiple of 5416,5078 with GCF Formula

Least Common Multiple of 5416,5078 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 5416,5078 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5416,5078) = 2

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

GCF(5416,5078) x common factors =2 x 1 = 2

LCM(5416,5078) = ( 5416 × 5078 ) / 2

LCM(5416,5078) = 27502448 / 2

LCM(5416,5078) = 13751224


Lets's calculate GCF of 124,178

2 124, 178
62, 89

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13751224/2

Therefore the LCM of Fractions 5416/124,5078/178 is 6875612

Greatest Common Factor of 124,178 By Matching Biggest Common Factor Method

Greatest Common Factor of 124,178 By Matching Biggest Common Factor Method

Factors of 124

List of positive integer factors of 124 that divides 124 without a remainder.

1,2,4,31,62,124

Factors of 178

List of positive integer factors of 178 that divides 178 without a remainder.

1,2,89,178

Greatest Common Factor

We found the factors 124,178 . The biggest common factor number is the GCF number.
So the greatest common factor 124,178 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 5416/124, 5078/178

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 5416/124, 5078/178?

Answer: LCM of Numerators as per given numbers 5416/124, 5078/178 is

LCM of Numerators i.e. for 5416,5078 is 13751224

GCF of denominators i.e. for 124,178 is 2.

Thus, LCM of Fractions is 6875612.Finally, LCM of Fractions for 5416/124, 5078/178 is 6875612.