Least Common Multiple of 5708/904, 3578/958

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5708/904, 3578/958 quickly i.e. 5105806 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5708/904, 3578/958 is 5105806.

LCM(5708/904, 3578/958) = 5105806

LCM of 5708/904, 3578/958

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 5708/904,3578/958

Given numbers are 5708/904,3578/958

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 5708,3578

Least Common Multiple of Numerators i.e. LCM of 5708,3578 is 10211612.

GCF of Denominators means GCF of 904,958 as per the given fractions.

GCF of 904,958 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5708,3578

LCM of Fractions 5708/904,3578/958 is 5105806

2 5708, 3578
2854, 1789

∴ So the LCM of the given numbers is 2 x 2854 x 1789 = 10211612

Least Common Multiple of 5708,3578 with GCF Formula

Least Common Multiple of 5708,3578 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 5708,3578 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5708,3578) = 2

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

GCF(5708,3578) x common factors =2 x 1 = 2

LCM(5708,3578) = ( 5708 × 3578 ) / 2

LCM(5708,3578) = 20423224 / 2

LCM(5708,3578) = 10211612


Lets's calculate GCF of 904,958

2 904, 958
452, 479

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10211612/2

Therefore the LCM of Fractions 5708/904,3578/958 is 5105806

Greatest Common Factor of 904,958 By Matching Biggest Common Factor Method

Greatest Common Factor of 904,958 By Matching Biggest Common Factor Method

Factors of 904

List of positive integer factors of 904 that divides 904 without a remainder.

1,2,4,8,113,226,452,904

Factors of 958

List of positive integer factors of 958 that divides 958 without a remainder.

1,2,479,958

Greatest Common Factor

We found the factors 904,958 . The biggest common factor number is the GCF number.
So the greatest common factor 904,958 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 5708/904, 3578/958

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 5708/904, 3578/958?

Answer: LCM of Numerators as per given numbers 5708/904, 3578/958 is

LCM of Numerators i.e. for 5708,3578 is 10211612

GCF of denominators i.e. for 904,958 is 2.

Thus, LCM of Fractions is 5105806.Finally, LCM of Fractions for 5708/904, 3578/958 is 5105806.