Least Common Multiple of 696/83, 846/81, 348/702

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 696/83, 846/81, 348/702 quickly i.e. 98136 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 696/83, 846/81, 348/702 is 98136.

LCM(696/83, 846/81, 348/702) = 98136

LCM of 696/83, 846/81, 348/702

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 696/83,846/81,348/702

Given numbers are 696/83,846/81,348/702

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 696,846,348

Least Common Multiple of Numerators i.e. LCM of 696,846,348 is 98136.

GCF of Denominators means GCF of 83,81,702 as per the given fractions.

GCF of 83,81,702 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 696,846,348

LCM of Fractions 696/83,846/81,348/702 is 98136

2 696, 846, 348
2 348, 423, 174
3 87, 423, 174
29 29, 141, 58
1, 141, 2

∴ So the LCM of the given numbers is 2 x 2 x 3 x 29 x 1 x 141 x 2 = 98136

Least Common Multiple of 696,846,348 with GCF Formula

Least Common Multiple of 696,846,348 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 696,846,348 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(696,846,348) = 6

common factors(in case of two or more numbers have common factors) = 348

GCF(696,846,348) x common factors =6 x 348 = 2088

LCM(696,846,348) = ( 696 × 846 × 348 ) / 2088

LCM(696,846,348) = 204907968 / 2088

LCM(696,846,348) = 98136


Lets's calculate GCF of 83,81,702

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 98136/1

Therefore the LCM of Fractions 696/83,846/81,348/702 is 98136

Greatest Common Factor of 83,81,702 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,81,702 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 702

List of positive integer factors of 702 that divides 702 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Greatest Common Factor

We found the factors 83,81,702 . The biggest common factor number is the GCF number.
So the greatest common factor 83,81,702 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 696/83, 846/81, 348/702

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 696/83, 846/81, 348/702?

Answer: LCM of Numerators as per given numbers 696/83, 846/81, 348/702 is

LCM of Numerators i.e. for 696,846,348 is 98136

GCF of denominators i.e. for 83,81,702 is 1.

Thus, LCM of Fractions is 98136.Finally, LCM of Fractions for 696/83, 846/81, 348/702 is 98136.