Least Common Multiple of 45/632, 5534/9278

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/632, 5534/9278 quickly i.e. 124515 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/632, 5534/9278 is 124515.

LCM(45/632, 5534/9278) = 124515

LCM of 45/632, 5534/9278

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 45/632,5534/9278

Given numbers are 45/632,5534/9278

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 45,5534

Least Common Multiple of Numerators i.e. LCM of 45,5534 is 249030.

GCF of Denominators means GCF of 632,9278 as per the given fractions.

GCF of 632,9278 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,5534

LCM of Fractions 45/632,5534/9278 is 124515

Given numbers has no common factors except 1. So, there LCM is their product i.e 249030

Least Common Multiple of 45,5534 with GCF Formula

Least Common Multiple of 45,5534 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 45,5534 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,5534) = 1

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

GCF(45,5534) x common factors =1 x 1 = 1

LCM(45,5534) = ( 45 × 5534 ) / 1

LCM(45,5534) = 249030 / 1

LCM(45,5534) = 249030


Lets's calculate GCF of 632,9278

2 632, 9278
316, 4639

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 249030/2

Therefore the LCM of Fractions 45/632,5534/9278 is 124515

Greatest Common Factor of 632,9278 By Matching Biggest Common Factor Method

Greatest Common Factor of 632,9278 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 9278

List of positive integer factors of 9278 that divides 9278 without a remainder.

1,2,4639,9278

Greatest Common Factor

We found the factors 632,9278 . The biggest common factor number is the GCF number.
So the greatest common factor 632,9278 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 45/632, 5534/9278

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 45/632, 5534/9278?

Answer: LCM of Numerators as per given numbers 45/632, 5534/9278 is

LCM of Numerators i.e. for 45,5534 is 249030

GCF of denominators i.e. for 632,9278 is 2.

Thus, LCM of Fractions is 124515.Finally, LCM of Fractions for 45/632, 5534/9278 is 124515.