Least Common Multiple of 175/13, 476/7784

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 175/13, 476/7784 quickly i.e. 11900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 175/13, 476/7784 is 11900.

LCM(175/13, 476/7784) = 11900

LCM of 175/13, 476/7784

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 175/13,476/7784

Given numbers are 175/13,476/7784

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 175,476

Least Common Multiple of Numerators i.e. LCM of 175,476 is 11900.

GCF of Denominators means GCF of 13,7784 as per the given fractions.

GCF of 13,7784 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 175,476

LCM of Fractions 175/13,476/7784 is 11900

7 175, 476
25, 68

∴ So the LCM of the given numbers is 7 x 25 x 68 = 11900

Least Common Multiple of 175,476 with GCF Formula

Least Common Multiple of 175,476 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 175,476 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(175,476) = 7

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

GCF(175,476) x common factors =7 x 1 = 7

LCM(175,476) = ( 175 × 476 ) / 7

LCM(175,476) = 83300 / 7

LCM(175,476) = 11900


Lets's calculate GCF of 13,7784

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11900/1

Therefore the LCM of Fractions 175/13,476/7784 is 11900

Greatest Common Factor of 13,7784 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,7784 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 7784

List of positive integer factors of 7784 that divides 7784 without a remainder.

1,2,4,7,8,14,28,56,139,278,556,973,1112,1946,3892,7784

Greatest Common Factor

We found the factors 13,7784 . The biggest common factor number is the GCF number.
So the greatest common factor 13,7784 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 175/13, 476/7784

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 175/13, 476/7784?

Answer: LCM of Numerators as per given numbers 175/13, 476/7784 is

LCM of Numerators i.e. for 175,476 is 11900

GCF of denominators i.e. for 13,7784 is 1.

Thus, LCM of Fractions is 11900.Finally, LCM of Fractions for 175/13, 476/7784 is 11900.