Least Common Multiple of 198/692, 478/242, 926/657

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 198/692, 478/242, 926/657 quickly i.e. 21910086 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 198/692, 478/242, 926/657 is 21910086.

LCM(198/692, 478/242, 926/657) = 21910086

LCM of 198/692, 478/242, 926/657

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 198/692,478/242,926/657

Given numbers are 198/692,478/242,926/657

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 198,478,926

Least Common Multiple of Numerators i.e. LCM of 198,478,926 is 21910086.

GCF of Denominators means GCF of 692,242,657 as per the given fractions.

GCF of 692,242,657 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 198,478,926

LCM of Fractions 198/692,478/242,926/657 is 21910086

2 198, 478, 926
99, 239, 463

∴ So the LCM of the given numbers is 2 x 99 x 239 x 463 = 21910086

Least Common Multiple of 198,478,926 with GCF Formula

Least Common Multiple of 198,478,926 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 198,478,926 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(198,478,926) = 2

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

GCF(198,478,926) x common factors =2 x 2 = 4

LCM(198,478,926) = ( 198 × 478 × 926 ) / 4

LCM(198,478,926) = 87640344 / 4

LCM(198,478,926) = 21910086


Lets's calculate GCF of 692,242,657

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21910086/1

Therefore the LCM of Fractions 198/692,478/242,926/657 is 21910086

Greatest Common Factor of 692,242,657 By Matching Biggest Common Factor Method

Greatest Common Factor of 692,242,657 By Matching Biggest Common Factor Method

Factors of 692

List of positive integer factors of 692 that divides 692 without a remainder.

1,2,4,173,346,692

Factors of 242

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

1,2,11,22,121,242

Factors of 657

List of positive integer factors of 657 that divides 657 without a remainder.

1,3,9,73,219,657

Greatest Common Factor

We found the factors 692,242,657 . The biggest common factor number is the GCF number.
So the greatest common factor 692,242,657 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 198/692, 478/242, 926/657

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 198/692, 478/242, 926/657?

Answer: LCM of Numerators as per given numbers 198/692, 478/242, 926/657 is

LCM of Numerators i.e. for 198,478,926 is 21910086

GCF of denominators i.e. for 692,242,657 is 1.

Thus, LCM of Fractions is 21910086.Finally, LCM of Fractions for 198/692, 478/242, 926/657 is 21910086.