Least Common Multiple of 61/369, 84/536, 592/726

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/369, 84/536, 592/726 quickly i.e. 758352 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/369, 84/536, 592/726 is 758352.

LCM(61/369, 84/536, 592/726) = 758352

LCM of 61/369, 84/536, 592/726

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 61/369,84/536,592/726

Given numbers are 61/369,84/536,592/726

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 61,84,592

Least Common Multiple of Numerators i.e. LCM of 61,84,592 is 758352.

GCF of Denominators means GCF of 369,536,726 as per the given fractions.

GCF of 369,536,726 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,84,592

LCM of Fractions 61/369,84/536,592/726 is 758352

2 61, 84, 592
2 61, 42, 296
61, 21, 148

∴ So the LCM of the given numbers is 2 x 2 x 61 x 21 x 148 = 758352

Least Common Multiple of 61,84,592 with GCF Formula

Least Common Multiple of 61,84,592 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 61,84,592 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,84,592) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(61,84,592) x common factors =1 x 4 = 4

LCM(61,84,592) = ( 61 × 84 × 592 ) / 4

LCM(61,84,592) = 3033408 / 4

LCM(61,84,592) = 758352


Lets's calculate GCF of 369,536,726

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 758352/1

Therefore the LCM of Fractions 61/369,84/536,592/726 is 758352

Greatest Common Factor of 369,536,726 By Matching Biggest Common Factor Method

Greatest Common Factor of 369,536,726 By Matching Biggest Common Factor Method

Factors of 369

List of positive integer factors of 369 that divides 369 without a remainder.

1,3,9,41,123,369

Factors of 536

List of positive integer factors of 536 that divides 536 without a remainder.

1,2,4,8,67,134,268,536

Factors of 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Greatest Common Factor

We found the factors 369,536,726 . The biggest common factor number is the GCF number.
So the greatest common factor 369,536,726 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 61/369, 84/536, 592/726

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 61/369, 84/536, 592/726?

Answer: LCM of Numerators as per given numbers 61/369, 84/536, 592/726 is

LCM of Numerators i.e. for 61,84,592 is 758352

GCF of denominators i.e. for 369,536,726 is 1.

Thus, LCM of Fractions is 758352.Finally, LCM of Fractions for 61/369, 84/536, 592/726 is 758352.