Least Common Multiple of 602/67, 523/93, 920/973

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 602/67, 523/93, 920/973 quickly i.e. 144829160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 602/67, 523/93, 920/973 is 144829160.

LCM(602/67, 523/93, 920/973) = 144829160

LCM of 602/67, 523/93, 920/973

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 602/67,523/93,920/973

Given numbers are 602/67,523/93,920/973

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 602,523,920

Least Common Multiple of Numerators i.e. LCM of 602,523,920 is 144829160.

GCF of Denominators means GCF of 67,93,973 as per the given fractions.

GCF of 67,93,973 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 602,523,920

LCM of Fractions 602/67,523/93,920/973 is 144829160

2 602, 523, 920
301, 523, 460

∴ So the LCM of the given numbers is 2 x 301 x 523 x 460 = 144829160

Least Common Multiple of 602,523,920 with GCF Formula

Least Common Multiple of 602,523,920 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 602,523,920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(602,523,920) = 1

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

GCF(602,523,920) x common factors =1 x 2 = 2

LCM(602,523,920) = ( 602 × 523 × 920 ) / 2

LCM(602,523,920) = 289658320 / 2

LCM(602,523,920) = 144829160


Lets's calculate GCF of 67,93,973

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 144829160/1

Therefore the LCM of Fractions 602/67,523/93,920/973 is 144829160

Greatest Common Factor of 67,93,973 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,93,973 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 973

List of positive integer factors of 973 that divides 973 without a remainder.

1,7,139,973

Greatest Common Factor

We found the factors 67,93,973 . The biggest common factor number is the GCF number.
So the greatest common factor 67,93,973 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 602/67, 523/93, 920/973

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 602/67, 523/93, 920/973?

Answer: LCM of Numerators as per given numbers 602/67, 523/93, 920/973 is

LCM of Numerators i.e. for 602,523,920 is 144829160

GCF of denominators i.e. for 67,93,973 is 1.

Thus, LCM of Fractions is 144829160.Finally, LCM of Fractions for 602/67, 523/93, 920/973 is 144829160.