Least Common Multiple of 604/41, 358/62, 711/660

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 604/41, 358/62, 711/660 quickly i.e. 76870476 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 604/41, 358/62, 711/660 is 76870476.

LCM(604/41, 358/62, 711/660) = 76870476

LCM of 604/41, 358/62, 711/660

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 604/41,358/62,711/660

Given numbers are 604/41,358/62,711/660

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 604,358,711

Least Common Multiple of Numerators i.e. LCM of 604,358,711 is 76870476.

GCF of Denominators means GCF of 41,62,660 as per the given fractions.

GCF of 41,62,660 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 604,358,711

LCM of Fractions 604/41,358/62,711/660 is 76870476

2 604, 358, 711
302, 179, 711

∴ So the LCM of the given numbers is 2 x 302 x 179 x 711 = 76870476

Least Common Multiple of 604,358,711 with GCF Formula

Least Common Multiple of 604,358,711 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 604,358,711 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(604,358,711) = 1

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

GCF(604,358,711) x common factors =1 x 2 = 2

LCM(604,358,711) = ( 604 × 358 × 711 ) / 2

LCM(604,358,711) = 153740952 / 2

LCM(604,358,711) = 76870476


Lets's calculate GCF of 41,62,660

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76870476/1

Therefore the LCM of Fractions 604/41,358/62,711/660 is 76870476

Greatest Common Factor of 41,62,660 By Matching Biggest Common Factor Method

Greatest Common Factor of 41,62,660 By Matching Biggest Common Factor Method

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Greatest Common Factor

We found the factors 41,62,660 . The biggest common factor number is the GCF number.
So the greatest common factor 41,62,660 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 604/41, 358/62, 711/660

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 604/41, 358/62, 711/660?

Answer: LCM of Numerators as per given numbers 604/41, 358/62, 711/660 is

LCM of Numerators i.e. for 604,358,711 is 76870476

GCF of denominators i.e. for 41,62,660 is 1.

Thus, LCM of Fractions is 76870476.Finally, LCM of Fractions for 604/41, 358/62, 711/660 is 76870476.