Least Common Multiple of 94/827, 71/611, 696/758

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 94/827, 71/611, 696/758 quickly i.e. 2322552 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 94/827, 71/611, 696/758 is 2322552.

LCM(94/827, 71/611, 696/758) = 2322552

LCM of 94/827, 71/611, 696/758

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 94/827,71/611,696/758

Given numbers are 94/827,71/611,696/758

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 94,71,696

Least Common Multiple of Numerators i.e. LCM of 94,71,696 is 2322552.

GCF of Denominators means GCF of 827,611,758 as per the given fractions.

GCF of 827,611,758 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 94,71,696

LCM of Fractions 94/827,71/611,696/758 is 2322552

2 94, 71, 696
47, 71, 348

∴ So the LCM of the given numbers is 2 x 47 x 71 x 348 = 2322552

Least Common Multiple of 94,71,696 with GCF Formula

Least Common Multiple of 94,71,696 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 94,71,696 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,71,696) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(94,71,696) x common factors =1 x 2 = 2

LCM(94,71,696) = ( 94 × 71 × 696 ) / 2

LCM(94,71,696) = 4645104 / 2

LCM(94,71,696) = 2322552


Lets's calculate GCF of 827,611,758

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2322552/1

Therefore the LCM of Fractions 94/827,71/611,696/758 is 2322552

Greatest Common Factor of 827,611,758 By Matching Biggest Common Factor Method

Greatest Common Factor of 827,611,758 By Matching Biggest Common Factor Method

Factors of 827

List of positive integer factors of 827 that divides 827 without a remainder.

1,827

Factors of 611

List of positive integer factors of 611 that divides 611 without a remainder.

1,13,47,611

Factors of 758

List of positive integer factors of 758 that divides 758 without a remainder.

1,2,379,758

Greatest Common Factor

We found the factors 827,611,758 . The biggest common factor number is the GCF number.
So the greatest common factor 827,611,758 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 94/827, 71/611, 696/758

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 94/827, 71/611, 696/758?

Answer: LCM of Numerators as per given numbers 94/827, 71/611, 696/758 is

LCM of Numerators i.e. for 94,71,696 is 2322552

GCF of denominators i.e. for 827,611,758 is 1.

Thus, LCM of Fractions is 2322552.Finally, LCM of Fractions for 94/827, 71/611, 696/758 is 2322552.