Least Common Multiple of 36/884, 271/272, 761/770

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/884, 271/272, 761/770 quickly i.e. 3712158 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/884, 271/272, 761/770 is 3712158.

LCM(36/884, 271/272, 761/770) = 3712158

LCM of 36/884, 271/272, 761/770

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 36/884,271/272,761/770

Given numbers are 36/884,271/272,761/770

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 36,271,761

Least Common Multiple of Numerators i.e. LCM of 36,271,761 is 7424316.

GCF of Denominators means GCF of 884,272,770 as per the given fractions.

GCF of 884,272,770 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,271,761

LCM of Fractions 36/884,271/272,761/770 is 3712158

Given numbers has no common factors except 1. So, there LCM is their product i.e 7424316

Least Common Multiple of 36,271,761 with GCF Formula

Least Common Multiple of 36,271,761 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 36,271,761 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,271,761) = 1

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

GCF(36,271,761) x common factors =1 x 1 = 1

LCM(36,271,761) = ( 36 × 271 × 761 ) / 1

LCM(36,271,761) = 7424316 / 1

LCM(36,271,761) = 7424316


Lets's calculate GCF of 884,272,770

2 884, 272, 770
442, 136, 385

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7424316/2

Therefore the LCM of Fractions 36/884,271/272,761/770 is 3712158

Greatest Common Factor of 884,272,770 By Matching Biggest Common Factor Method

Greatest Common Factor of 884,272,770 By Matching Biggest Common Factor Method

Factors of 884

List of positive integer factors of 884 that divides 884 without a remainder.

1,2,4,13,17,26,34,52,68,221,442,884

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Factors of 770

List of positive integer factors of 770 that divides 770 without a remainder.

1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770

Greatest Common Factor

We found the factors 884,272,770 . The biggest common factor number is the GCF number.
So the greatest common factor 884,272,770 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 36/884, 271/272, 761/770

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 36/884, 271/272, 761/770?

Answer: LCM of Numerators as per given numbers 36/884, 271/272, 761/770 is

LCM of Numerators i.e. for 36,271,761 is 7424316

GCF of denominators i.e. for 884,272,770 is 2.

Thus, LCM of Fractions is 3712158.Finally, LCM of Fractions for 36/884, 271/272, 761/770 is 3712158.