Least Common Multiple of 567/416, 8800/7486

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 567/416, 8800/7486 quickly i.e. 2494800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 567/416, 8800/7486 is 2494800.

LCM(567/416, 8800/7486) = 2494800

LCM of 567/416, 8800/7486

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 567/416,8800/7486

Given numbers are 567/416,8800/7486

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 567,8800

Least Common Multiple of Numerators i.e. LCM of 567,8800 is 4989600.

GCF of Denominators means GCF of 416,7486 as per the given fractions.

GCF of 416,7486 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 567,8800

LCM of Fractions 567/416,8800/7486 is 2494800

Given numbers has no common factors except 1. So, there LCM is their product i.e 4989600

Least Common Multiple of 567,8800 with GCF Formula

Least Common Multiple of 567,8800 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 567,8800 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(567,8800) = 1

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

GCF(567,8800) x common factors =1 x 1 = 1

LCM(567,8800) = ( 567 × 8800 ) / 1

LCM(567,8800) = 4989600 / 1

LCM(567,8800) = 4989600


Lets's calculate GCF of 416,7486

2 416, 7486
208, 3743

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4989600/2

Therefore the LCM of Fractions 567/416,8800/7486 is 2494800

Greatest Common Factor of 416,7486 By Matching Biggest Common Factor Method

Greatest Common Factor of 416,7486 By Matching Biggest Common Factor Method

Factors of 416

List of positive integer factors of 416 that divides 416 without a remainder.

1,2,4,8,13,16,26,32,52,104,208,416

Factors of 7486

List of positive integer factors of 7486 that divides 7486 without a remainder.

1,2,19,38,197,394,3743,7486

Greatest Common Factor

We found the factors 416,7486 . The biggest common factor number is the GCF number.
So the greatest common factor 416,7486 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 567/416, 8800/7486

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 567/416, 8800/7486?

Answer: LCM of Numerators as per given numbers 567/416, 8800/7486 is

LCM of Numerators i.e. for 567,8800 is 4989600

GCF of denominators i.e. for 416,7486 is 2.

Thus, LCM of Fractions is 2494800.Finally, LCM of Fractions for 567/416, 8800/7486 is 2494800.