Least Common Multiple of 114/90, 816/7148

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 114/90, 816/7148 quickly i.e. 7752 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 114/90, 816/7148 is 7752.

LCM(114/90, 816/7148) = 7752

LCM of 114/90, 816/7148

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 114/90,816/7148

Given numbers are 114/90,816/7148

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 114,816

Least Common Multiple of Numerators i.e. LCM of 114,816 is 15504.

GCF of Denominators means GCF of 90,7148 as per the given fractions.

GCF of 90,7148 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 114,816

LCM of Fractions 114/90,816/7148 is 7752

2 114, 816
3 57, 408
19, 136

∴ So the LCM of the given numbers is 2 x 3 x 19 x 136 = 15504

Least Common Multiple of 114,816 with GCF Formula

Least Common Multiple of 114,816 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 114,816 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(114,816) = 6

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

GCF(114,816) x common factors =6 x 1 = 6

LCM(114,816) = ( 114 × 816 ) / 6

LCM(114,816) = 93024 / 6

LCM(114,816) = 15504


Lets's calculate GCF of 90,7148

2 90, 7148
45, 3574

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15504/2

Therefore the LCM of Fractions 114/90,816/7148 is 7752

Greatest Common Factor of 90,7148 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,7148 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 7148

List of positive integer factors of 7148 that divides 7148 without a remainder.

1,2,4,1787,3574,7148

Greatest Common Factor

We found the factors 90,7148 . The biggest common factor number is the GCF number.
So the greatest common factor 90,7148 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 114/90, 816/7148

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 114/90, 816/7148?

Answer: LCM of Numerators as per given numbers 114/90, 816/7148 is

LCM of Numerators i.e. for 114,816 is 15504

GCF of denominators i.e. for 90,7148 is 2.

Thus, LCM of Fractions is 7752.Finally, LCM of Fractions for 114/90, 816/7148 is 7752.