Least Common Multiple of 5574/632, 7338/5153

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5574/632, 7338/5153 quickly i.e. 6817002 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5574/632, 7338/5153 is 6817002.

LCM(5574/632, 7338/5153) = 6817002

LCM of 5574/632, 7338/5153

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 5574/632,7338/5153

Given numbers are 5574/632,7338/5153

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 5574,7338

Least Common Multiple of Numerators i.e. LCM of 5574,7338 is 6817002.

GCF of Denominators means GCF of 632,5153 as per the given fractions.

GCF of 632,5153 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5574,7338

LCM of Fractions 5574/632,7338/5153 is 6817002

2 5574, 7338
3 2787, 3669
929, 1223

∴ So the LCM of the given numbers is 2 x 3 x 929 x 1223 = 6817002

Least Common Multiple of 5574,7338 with GCF Formula

Least Common Multiple of 5574,7338 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 5574,7338 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5574,7338) = 6

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

GCF(5574,7338) x common factors =6 x 1 = 6

LCM(5574,7338) = ( 5574 × 7338 ) / 6

LCM(5574,7338) = 40902012 / 6

LCM(5574,7338) = 6817002


Lets's calculate GCF of 632,5153

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6817002/1

Therefore the LCM of Fractions 5574/632,7338/5153 is 6817002

Greatest Common Factor of 632,5153 By Matching Biggest Common Factor Method

Greatest Common Factor of 632,5153 By Matching Biggest Common Factor Method

Factors of 632

List of positive integer factors of 632 that divides 632 without a remainder.

1,2,4,8,79,158,316,632

Factors of 5153

List of positive integer factors of 5153 that divides 5153 without a remainder.

1,5153

Greatest Common Factor

We found the factors 632,5153 . The biggest common factor number is the GCF number.
So the greatest common factor 632,5153 is 1.


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 5574/632, 7338/5153

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 5574/632, 7338/5153?

Answer: LCM of Numerators as per given numbers 5574/632, 7338/5153 is

LCM of Numerators i.e. for 5574,7338 is 6817002

GCF of denominators i.e. for 632,5153 is 1.

Thus, LCM of Fractions is 6817002.Finally, LCM of Fractions for 5574/632, 7338/5153 is 6817002.