Least Common Multiple of 7835/931, 3742/5505

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7835/931, 3742/5505 quickly i.e. 29318570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7835/931, 3742/5505 is 29318570.

LCM(7835/931, 3742/5505) = 29318570

LCM of 7835/931, 3742/5505

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 7835/931,3742/5505

Given numbers are 7835/931,3742/5505

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 7835,3742

Least Common Multiple of Numerators i.e. LCM of 7835,3742 is 29318570.

GCF of Denominators means GCF of 931,5505 as per the given fractions.

GCF of 931,5505 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7835,3742

LCM of Fractions 7835/931,3742/5505 is 29318570

Given numbers has no common factors except 1. So, there LCM is their product i.e 29318570

Least Common Multiple of 7835,3742 with GCF Formula

Least Common Multiple of 7835,3742 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 7835,3742 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7835,3742) = 1

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

GCF(7835,3742) x common factors =1 x 1 = 1

LCM(7835,3742) = ( 7835 × 3742 ) / 1

LCM(7835,3742) = 29318570 / 1

LCM(7835,3742) = 29318570


Lets's calculate GCF of 931,5505

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29318570/1

Therefore the LCM of Fractions 7835/931,3742/5505 is 29318570

Greatest Common Factor of 931,5505 By Matching Biggest Common Factor Method

Greatest Common Factor of 931,5505 By Matching Biggest Common Factor Method

Factors of 931

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

1,7,19,49,133,931

Factors of 5505

List of positive integer factors of 5505 that divides 5505 without a remainder.

1,3,5,15,367,1101,1835,5505

Greatest Common Factor

We found the factors 931,5505 . The biggest common factor number is the GCF number.
So the greatest common factor 931,5505 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7835/931, 3742/5505

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 7835/931, 3742/5505?

Answer: LCM of Numerators as per given numbers 7835/931, 3742/5505 is

LCM of Numerators i.e. for 7835,3742 is 29318570

GCF of denominators i.e. for 931,5505 is 1.

Thus, LCM of Fractions is 29318570.Finally, LCM of Fractions for 7835/931, 3742/5505 is 29318570.