Least Common Multiple of 36/742, 673/35, 505/931

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/742, 673/35, 505/931 quickly i.e. 12235140/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/742, 673/35, 505/931 is 12235140/7.

LCM(36/742, 673/35, 505/931) = 12235140/7

LCM of 36/742, 673/35, 505/931

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 36/742,673/35,505/931

Given numbers are 36/742,673/35,505/931

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 36,673,505

Least Common Multiple of Numerators i.e. LCM of 36,673,505 is 12235140.

GCF of Denominators means GCF of 742,35,931 as per the given fractions.

GCF of 742,35,931 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,673,505

LCM of Fractions 36/742,673/35,505/931 is 12235140/7

Given numbers has no common factors except 1. So, there LCM is their product i.e 12235140

Least Common Multiple of 36,673,505 with GCF Formula

Least Common Multiple of 36,673,505 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 36,673,505 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,673,505) = 1

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

GCF(36,673,505) x common factors =1 x 1 = 1

LCM(36,673,505) = ( 36 × 673 × 505 ) / 1

LCM(36,673,505) = 12235140 / 1

LCM(36,673,505) = 12235140


Lets's calculate GCF of 742,35,931

7 742, 35, 931
106, 5, 133

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12235140/7

Therefore the LCM of Fractions 36/742,673/35,505/931 is 12235140/7

Greatest Common Factor of 742,35,931 By Matching Biggest Common Factor Method

Greatest Common Factor of 742,35,931 By Matching Biggest Common Factor Method

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 931

List of positive integer factors of 931 that divides 931 without a remainder.

1,7,19,49,133,931

Greatest Common Factor

We found the factors 742,35,931 . The biggest common factor number is the GCF number.
So the greatest common factor 742,35,931 is 7.


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 36/742, 673/35, 505/931

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 36/742, 673/35, 505/931?

Answer: LCM of Numerators as per given numbers 36/742, 673/35, 505/931 is

LCM of Numerators i.e. for 36,673,505 is 12235140

GCF of denominators i.e. for 742,35,931 is 7.

Thus, LCM of Fractions is 12235140/7.Finally, LCM of Fractions for 36/742, 673/35, 505/931 is 12235140/7.