Least Common Multiple of 7498/166, 5675/400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7498/166, 5675/400 quickly i.e. 21275575 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7498/166, 5675/400 is 21275575.

LCM(7498/166, 5675/400) = 21275575

LCM of 7498/166, 5675/400

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 7498/166,5675/400

Given numbers are 7498/166,5675/400

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 7498,5675

Least Common Multiple of Numerators i.e. LCM of 7498,5675 is 42551150.

GCF of Denominators means GCF of 166,400 as per the given fractions.

GCF of 166,400 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7498,5675

LCM of Fractions 7498/166,5675/400 is 21275575

Given numbers has no common factors except 1. So, there LCM is their product i.e 42551150

Least Common Multiple of 7498,5675 with GCF Formula

Least Common Multiple of 7498,5675 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 7498,5675 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7498,5675) = 1

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

GCF(7498,5675) x common factors =1 x 1 = 1

LCM(7498,5675) = ( 7498 × 5675 ) / 1

LCM(7498,5675) = 42551150 / 1

LCM(7498,5675) = 42551150


Lets's calculate GCF of 166,400

2 166, 400
83, 200

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42551150/2

Therefore the LCM of Fractions 7498/166,5675/400 is 21275575

Greatest Common Factor of 166,400 By Matching Biggest Common Factor Method

Greatest Common Factor of 166,400 By Matching Biggest Common Factor Method

Factors of 166

List of positive integer factors of 166 that divides 166 without a remainder.

1,2,83,166

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Greatest Common Factor

We found the factors 166,400 . The biggest common factor number is the GCF number.
So the greatest common factor 166,400 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 7498/166, 5675/400

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 7498/166, 5675/400?

Answer: LCM of Numerators as per given numbers 7498/166, 5675/400 is

LCM of Numerators i.e. for 7498,5675 is 42551150

GCF of denominators i.e. for 166,400 is 2.

Thus, LCM of Fractions is 21275575.Finally, LCM of Fractions for 7498/166, 5675/400 is 21275575.