Least Common Multiple of 428/68, 320/59, 658/923

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 428/68, 320/59, 658/923 quickly i.e. 11264960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 428/68, 320/59, 658/923 is 11264960.

LCM(428/68, 320/59, 658/923) = 11264960

LCM of 428/68, 320/59, 658/923

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 428/68,320/59,658/923

Given numbers are 428/68,320/59,658/923

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 428,320,658

Least Common Multiple of Numerators i.e. LCM of 428,320,658 is 11264960.

GCF of Denominators means GCF of 68,59,923 as per the given fractions.

GCF of 68,59,923 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 428,320,658

LCM of Fractions 428/68,320/59,658/923 is 11264960

2 428, 320, 658
2 214, 160, 329
107, 80, 329

∴ So the LCM of the given numbers is 2 x 2 x 107 x 80 x 329 = 11264960

Least Common Multiple of 428,320,658 with GCF Formula

Least Common Multiple of 428,320,658 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 428,320,658 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(428,320,658) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(428,320,658) x common factors =2 x 4 = 8

LCM(428,320,658) = ( 428 × 320 × 658 ) / 8

LCM(428,320,658) = 90119680 / 8

LCM(428,320,658) = 11264960


Lets's calculate GCF of 68,59,923

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11264960/1

Therefore the LCM of Fractions 428/68,320/59,658/923 is 11264960

Greatest Common Factor of 68,59,923 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,59,923 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 923

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

1,13,71,923

Greatest Common Factor

We found the factors 68,59,923 . The biggest common factor number is the GCF number.
So the greatest common factor 68,59,923 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 428/68, 320/59, 658/923

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 428/68, 320/59, 658/923?

Answer: LCM of Numerators as per given numbers 428/68, 320/59, 658/923 is

LCM of Numerators i.e. for 428,320,658 is 11264960

GCF of denominators i.e. for 68,59,923 is 1.

Thus, LCM of Fractions is 11264960.Finally, LCM of Fractions for 428/68, 320/59, 658/923 is 11264960.