Least Common Multiple of 745/908, 785/653, 198/446

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 745/908, 785/653, 198/446 quickly i.e. 23159070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 745/908, 785/653, 198/446 is 23159070.

LCM(745/908, 785/653, 198/446) = 23159070

LCM of 745/908, 785/653, 198/446

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 745/908,785/653,198/446

Given numbers are 745/908,785/653,198/446

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 745,785,198

Least Common Multiple of Numerators i.e. LCM of 745,785,198 is 23159070.

GCF of Denominators means GCF of 908,653,446 as per the given fractions.

GCF of 908,653,446 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 745,785,198

LCM of Fractions 745/908,785/653,198/446 is 23159070

5 745, 785, 198
149, 157, 198

∴ So the LCM of the given numbers is 5 x 149 x 157 x 198 = 23159070

Least Common Multiple of 745,785,198 with GCF Formula

Least Common Multiple of 745,785,198 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 745,785,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(745,785,198) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(745,785,198) x common factors =1 x 5 = 5

LCM(745,785,198) = ( 745 × 785 × 198 ) / 5

LCM(745,785,198) = 115795350 / 5

LCM(745,785,198) = 23159070


Lets's calculate GCF of 908,653,446

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23159070/1

Therefore the LCM of Fractions 745/908,785/653,198/446 is 23159070

Greatest Common Factor of 908,653,446 By Matching Biggest Common Factor Method

Greatest Common Factor of 908,653,446 By Matching Biggest Common Factor Method

Factors of 908

List of positive integer factors of 908 that divides 908 without a remainder.

1,2,4,227,454,908

Factors of 653

List of positive integer factors of 653 that divides 653 without a remainder.

1,653

Factors of 446

List of positive integer factors of 446 that divides 446 without a remainder.

1,2,223,446

Greatest Common Factor

We found the factors 908,653,446 . The biggest common factor number is the GCF number.
So the greatest common factor 908,653,446 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 745/908, 785/653, 198/446

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 745/908, 785/653, 198/446?

Answer: LCM of Numerators as per given numbers 745/908, 785/653, 198/446 is

LCM of Numerators i.e. for 745,785,198 is 23159070

GCF of denominators i.e. for 908,653,446 is 1.

Thus, LCM of Fractions is 23159070.Finally, LCM of Fractions for 745/908, 785/653, 198/446 is 23159070.