Least Common Multiple of 5452/146, 8503/6456

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5452/146, 8503/6456 quickly i.e. 23179178 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5452/146, 8503/6456 is 23179178.

LCM(5452/146, 8503/6456) = 23179178

LCM of 5452/146, 8503/6456

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 5452/146,8503/6456

Given numbers are 5452/146,8503/6456

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 5452,8503

Least Common Multiple of Numerators i.e. LCM of 5452,8503 is 46358356.

GCF of Denominators means GCF of 146,6456 as per the given fractions.

GCF of 146,6456 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5452,8503

LCM of Fractions 5452/146,8503/6456 is 23179178

Given numbers has no common factors except 1. So, there LCM is their product i.e 46358356

Least Common Multiple of 5452,8503 with GCF Formula

Least Common Multiple of 5452,8503 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 5452,8503 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5452,8503) = 1

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

GCF(5452,8503) x common factors =1 x 1 = 1

LCM(5452,8503) = ( 5452 × 8503 ) / 1

LCM(5452,8503) = 46358356 / 1

LCM(5452,8503) = 46358356


Lets's calculate GCF of 146,6456

2 146, 6456
73, 3228

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46358356/2

Therefore the LCM of Fractions 5452/146,8503/6456 is 23179178

Greatest Common Factor of 146,6456 By Matching Biggest Common Factor Method

Greatest Common Factor of 146,6456 By Matching Biggest Common Factor Method

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Factors of 6456

List of positive integer factors of 6456 that divides 6456 without a remainder.

1,2,3,4,6,8,12,24,269,538,807,1076,1614,2152,3228,6456

Greatest Common Factor

We found the factors 146,6456 . The biggest common factor number is the GCF number.
So the greatest common factor 146,6456 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 5452/146, 8503/6456

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 5452/146, 8503/6456?

Answer: LCM of Numerators as per given numbers 5452/146, 8503/6456 is

LCM of Numerators i.e. for 5452,8503 is 46358356

GCF of denominators i.e. for 146,6456 is 2.

Thus, LCM of Fractions is 23179178.Finally, LCM of Fractions for 5452/146, 8503/6456 is 23179178.