Least Common Multiple of 52/692, 441/72, 254/778

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 52/692, 441/72, 254/778 quickly i.e. 1456182 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/692, 441/72, 254/778 is 1456182.

LCM(52/692, 441/72, 254/778) = 1456182

LCM of 52/692, 441/72, 254/778

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 52/692,441/72,254/778

Given numbers are 52/692,441/72,254/778

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 52,441,254

Least Common Multiple of Numerators i.e. LCM of 52,441,254 is 2912364.

GCF of Denominators means GCF of 692,72,778 as per the given fractions.

GCF of 692,72,778 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,441,254

LCM of Fractions 52/692,441/72,254/778 is 1456182

2 52, 441, 254
26, 441, 127

∴ So the LCM of the given numbers is 2 x 26 x 441 x 127 = 2912364

Least Common Multiple of 52,441,254 with GCF Formula

Least Common Multiple of 52,441,254 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 52,441,254 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,441,254) = 1

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

GCF(52,441,254) x common factors =1 x 2 = 2

LCM(52,441,254) = ( 52 × 441 × 254 ) / 2

LCM(52,441,254) = 5824728 / 2

LCM(52,441,254) = 2912364


Lets's calculate GCF of 692,72,778

2 692, 72, 778
346, 36, 389

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2912364/2

Therefore the LCM of Fractions 52/692,441/72,254/778 is 1456182

Greatest Common Factor of 692,72,778 By Matching Biggest Common Factor Method

Greatest Common Factor of 692,72,778 By Matching Biggest Common Factor Method

Factors of 692

List of positive integer factors of 692 that divides 692 without a remainder.

1,2,4,173,346,692

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 778

List of positive integer factors of 778 that divides 778 without a remainder.

1,2,389,778

Greatest Common Factor

We found the factors 692,72,778 . The biggest common factor number is the GCF number.
So the greatest common factor 692,72,778 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 52/692, 441/72, 254/778

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 52/692, 441/72, 254/778?

Answer: LCM of Numerators as per given numbers 52/692, 441/72, 254/778 is

LCM of Numerators i.e. for 52,441,254 is 2912364

GCF of denominators i.e. for 692,72,778 is 2.

Thus, LCM of Fractions is 1456182.Finally, LCM of Fractions for 52/692, 441/72, 254/778 is 1456182.