Least Common Multiple of 696/553, 7806/931

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 696/553, 7806/931 quickly i.e. 905496/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 696/553, 7806/931 is 905496/7.

LCM(696/553, 7806/931) = 905496/7

LCM of 696/553, 7806/931

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 696/553,7806/931

Given numbers are 696/553,7806/931

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 696,7806

Least Common Multiple of Numerators i.e. LCM of 696,7806 is 905496.

GCF of Denominators means GCF of 553,931 as per the given fractions.

GCF of 553,931 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 696,7806

LCM of Fractions 696/553,7806/931 is 905496/7

2 696, 7806
3 348, 3903
116, 1301

∴ So the LCM of the given numbers is 2 x 3 x 116 x 1301 = 905496

Least Common Multiple of 696,7806 with GCF Formula

Least Common Multiple of 696,7806 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 696,7806 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(696,7806) = 6

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

GCF(696,7806) x common factors =6 x 1 = 6

LCM(696,7806) = ( 696 × 7806 ) / 6

LCM(696,7806) = 5432976 / 6

LCM(696,7806) = 905496


Lets's calculate GCF of 553,931

7 553, 931
79, 133

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 905496/7

Therefore the LCM of Fractions 696/553,7806/931 is 905496/7

Greatest Common Factor of 553,931 By Matching Biggest Common Factor Method

Greatest Common Factor of 553,931 By Matching Biggest Common Factor Method

Factors of 553

List of positive integer factors of 553 that divides 553 without a remainder.

1,7,79,553

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 553,931 . The biggest common factor number is the GCF number.
So the greatest common factor 553,931 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 696/553, 7806/931

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 696/553, 7806/931?

Answer: LCM of Numerators as per given numbers 696/553, 7806/931 is

LCM of Numerators i.e. for 696,7806 is 905496

GCF of denominators i.e. for 553,931 is 7.

Thus, LCM of Fractions is 905496/7.Finally, LCM of Fractions for 696/553, 7806/931 is 905496/7.