Least Common Multiple of 475/50, 684/7448

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 475/50, 684/7448 quickly i.e. 8550 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 475/50, 684/7448 is 8550.

LCM(475/50, 684/7448) = 8550

LCM of 475/50, 684/7448

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 475/50,684/7448

Given numbers are 475/50,684/7448

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 475,684

Least Common Multiple of Numerators i.e. LCM of 475,684 is 17100.

GCF of Denominators means GCF of 50,7448 as per the given fractions.

GCF of 50,7448 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 475,684

LCM of Fractions 475/50,684/7448 is 8550

19 475, 684
25, 36

∴ So the LCM of the given numbers is 19 x 25 x 36 = 17100

Least Common Multiple of 475,684 with GCF Formula

Least Common Multiple of 475,684 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 475,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(475,684) = 19

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

GCF(475,684) x common factors =19 x 1 = 19

LCM(475,684) = ( 475 × 684 ) / 19

LCM(475,684) = 324900 / 19

LCM(475,684) = 17100


Lets's calculate GCF of 50,7448

2 50, 7448
25, 3724

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17100/2

Therefore the LCM of Fractions 475/50,684/7448 is 8550

Greatest Common Factor of 50,7448 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,7448 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 7448

List of positive integer factors of 7448 that divides 7448 without a remainder.

1,2,4,7,8,14,19,28,38,49,56,76,98,133,152,196,266,392,532,931,1064,1862,3724,7448

Greatest Common Factor

We found the factors 50,7448 . The biggest common factor number is the GCF number.
So the greatest common factor 50,7448 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 475/50, 684/7448

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 475/50, 684/7448?

Answer: LCM of Numerators as per given numbers 475/50, 684/7448 is

LCM of Numerators i.e. for 475,684 is 17100

GCF of denominators i.e. for 50,7448 is 2.

Thus, LCM of Fractions is 8550.Finally, LCM of Fractions for 475/50, 684/7448 is 8550.