Least Common Multiple of 686/923, 457/147, 358/717

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 686/923, 457/147, 358/717 quickly i.e. 56116858 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 686/923, 457/147, 358/717 is 56116858.

LCM(686/923, 457/147, 358/717) = 56116858

LCM of 686/923, 457/147, 358/717

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 686/923,457/147,358/717

Given numbers are 686/923,457/147,358/717

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 686,457,358

Least Common Multiple of Numerators i.e. LCM of 686,457,358 is 56116858.

GCF of Denominators means GCF of 923,147,717 as per the given fractions.

GCF of 923,147,717 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 686,457,358

LCM of Fractions 686/923,457/147,358/717 is 56116858

2 686, 457, 358
343, 457, 179

∴ So the LCM of the given numbers is 2 x 343 x 457 x 179 = 56116858

Least Common Multiple of 686,457,358 with GCF Formula

Least Common Multiple of 686,457,358 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 686,457,358 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(686,457,358) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(686,457,358) x common factors =1 x 2 = 2

LCM(686,457,358) = ( 686 × 457 × 358 ) / 2

LCM(686,457,358) = 112233716 / 2

LCM(686,457,358) = 56116858


Lets's calculate GCF of 923,147,717

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56116858/1

Therefore the LCM of Fractions 686/923,457/147,358/717 is 56116858

Greatest Common Factor of 923,147,717 By Matching Biggest Common Factor Method

Greatest Common Factor of 923,147,717 By Matching Biggest Common Factor Method

Factors of 923

List of positive integer factors of 923 that divides 923 without a remainder.

1,13,71,923

Factors of 147

List of positive integer factors of 147 that divides 147 without a remainder.

1,3,7,21,49,147

Factors of 717

List of positive integer factors of 717 that divides 717 without a remainder.

1,3,239,717

Greatest Common Factor

We found the factors 923,147,717 . The biggest common factor number is the GCF number.
So the greatest common factor 923,147,717 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 686/923, 457/147, 358/717

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 686/923, 457/147, 358/717?

Answer: LCM of Numerators as per given numbers 686/923, 457/147, 358/717 is

LCM of Numerators i.e. for 686,457,358 is 56116858

GCF of denominators i.e. for 923,147,717 is 1.

Thus, LCM of Fractions is 56116858.Finally, LCM of Fractions for 686/923, 457/147, 358/717 is 56116858.