Least Common Multiple of 77/890, 81/242, 416/605

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 77/890, 81/242, 416/605 quickly i.e. 2594592 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/890, 81/242, 416/605 is 2594592.

LCM(77/890, 81/242, 416/605) = 2594592

LCM of 77/890, 81/242, 416/605

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 77/890,81/242,416/605

Given numbers are 77/890,81/242,416/605

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 77,81,416

Least Common Multiple of Numerators i.e. LCM of 77,81,416 is 2594592.

GCF of Denominators means GCF of 890,242,605 as per the given fractions.

GCF of 890,242,605 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,81,416

LCM of Fractions 77/890,81/242,416/605 is 2594592

Given numbers has no common factors except 1. So, there LCM is their product i.e 2594592

Least Common Multiple of 77,81,416 with GCF Formula

Least Common Multiple of 77,81,416 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 77,81,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,81,416) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(77,81,416) x common factors =1 x 1 = 1

LCM(77,81,416) = ( 77 × 81 × 416 ) / 1

LCM(77,81,416) = 2594592 / 1

LCM(77,81,416) = 2594592


Lets's calculate GCF of 890,242,605

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2594592/1

Therefore the LCM of Fractions 77/890,81/242,416/605 is 2594592

Greatest Common Factor of 890,242,605 By Matching Biggest Common Factor Method

Greatest Common Factor of 890,242,605 By Matching Biggest Common Factor Method

Factors of 890

List of positive integer factors of 890 that divides 890 without a remainder.

1,2,5,10,89,178,445,890

Factors of 242

List of positive integer factors of 242 that divides 242 without a remainder.

1,2,11,22,121,242

Factors of 605

List of positive integer factors of 605 that divides 605 without a remainder.

1,5,11,55,121,605

Greatest Common Factor

We found the factors 890,242,605 . The biggest common factor number is the GCF number.
So the greatest common factor 890,242,605 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 77/890, 81/242, 416/605

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 77/890, 81/242, 416/605?

Answer: LCM of Numerators as per given numbers 77/890, 81/242, 416/605 is

LCM of Numerators i.e. for 77,81,416 is 2594592

GCF of denominators i.e. for 890,242,605 is 1.

Thus, LCM of Fractions is 2594592.Finally, LCM of Fractions for 77/890, 81/242, 416/605 is 2594592.