Least Common Multiple of 292/445, 697/987, 774/420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 292/445, 697/987, 774/420 quickly i.e. 78763788 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 292/445, 697/987, 774/420 is 78763788.

LCM(292/445, 697/987, 774/420) = 78763788

LCM of 292/445, 697/987, 774/420

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 292/445,697/987,774/420

Given numbers are 292/445,697/987,774/420

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 292,697,774

Least Common Multiple of Numerators i.e. LCM of 292,697,774 is 78763788.

GCF of Denominators means GCF of 445,987,420 as per the given fractions.

GCF of 445,987,420 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 292,697,774

LCM of Fractions 292/445,697/987,774/420 is 78763788

2 292, 697, 774
146, 697, 387

∴ So the LCM of the given numbers is 2 x 146 x 697 x 387 = 78763788

Least Common Multiple of 292,697,774 with GCF Formula

Least Common Multiple of 292,697,774 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 292,697,774 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(292,697,774) = 1

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

GCF(292,697,774) x common factors =1 x 2 = 2

LCM(292,697,774) = ( 292 × 697 × 774 ) / 2

LCM(292,697,774) = 157527576 / 2

LCM(292,697,774) = 78763788


Lets's calculate GCF of 445,987,420

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78763788/1

Therefore the LCM of Fractions 292/445,697/987,774/420 is 78763788

Greatest Common Factor of 445,987,420 By Matching Biggest Common Factor Method

Greatest Common Factor of 445,987,420 By Matching Biggest Common Factor Method

Factors of 445

List of positive integer factors of 445 that divides 445 without a remainder.

1,5,89,445

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Greatest Common Factor

We found the factors 445,987,420 . The biggest common factor number is the GCF number.
So the greatest common factor 445,987,420 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 292/445, 697/987, 774/420

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 292/445, 697/987, 774/420?

Answer: LCM of Numerators as per given numbers 292/445, 697/987, 774/420 is

LCM of Numerators i.e. for 292,697,774 is 78763788

GCF of denominators i.e. for 445,987,420 is 1.

Thus, LCM of Fractions is 78763788.Finally, LCM of Fractions for 292/445, 697/987, 774/420 is 78763788.