Least Common Multiple of 49/736, 59/726, 156/581

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/736, 59/726, 156/581 quickly i.e. 450996 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/736, 59/726, 156/581 is 450996.

LCM(49/736, 59/726, 156/581) = 450996

LCM of 49/736, 59/726, 156/581

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 49/736,59/726,156/581

Given numbers are 49/736,59/726,156/581

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 49,59,156

Least Common Multiple of Numerators i.e. LCM of 49,59,156 is 450996.

GCF of Denominators means GCF of 736,726,581 as per the given fractions.

GCF of 736,726,581 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,59,156

LCM of Fractions 49/736,59/726,156/581 is 450996

Given numbers has no common factors except 1. So, there LCM is their product i.e 450996

Least Common Multiple of 49,59,156 with GCF Formula

Least Common Multiple of 49,59,156 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 49,59,156 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,59,156) = 1

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

GCF(49,59,156) x common factors =1 x 1 = 1

LCM(49,59,156) = ( 49 × 59 × 156 ) / 1

LCM(49,59,156) = 450996 / 1

LCM(49,59,156) = 450996


Lets's calculate GCF of 736,726,581

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 450996/1

Therefore the LCM of Fractions 49/736,59/726,156/581 is 450996

Greatest Common Factor of 736,726,581 By Matching Biggest Common Factor Method

Greatest Common Factor of 736,726,581 By Matching Biggest Common Factor Method

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

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

Factors of 581

List of positive integer factors of 581 that divides 581 without a remainder.

1,7,83,581

Greatest Common Factor

We found the factors 736,726,581 . The biggest common factor number is the GCF number.
So the greatest common factor 736,726,581 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 49/736, 59/726, 156/581

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 49/736, 59/726, 156/581?

Answer: LCM of Numerators as per given numbers 49/736, 59/726, 156/581 is

LCM of Numerators i.e. for 49,59,156 is 450996

GCF of denominators i.e. for 736,726,581 is 1.

Thus, LCM of Fractions is 450996.Finally, LCM of Fractions for 49/736, 59/726, 156/581 is 450996.