Least Common Multiple of 450/50, 938/42, 895/942

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 450/50, 938/42, 895/942 quickly i.e. 18888975 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 450/50, 938/42, 895/942 is 18888975.

LCM(450/50, 938/42, 895/942) = 18888975

LCM of 450/50, 938/42, 895/942

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 450/50,938/42,895/942

Given numbers are 450/50,938/42,895/942

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 450,938,895

Least Common Multiple of Numerators i.e. LCM of 450,938,895 is 37777950.

GCF of Denominators means GCF of 50,42,942 as per the given fractions.

GCF of 50,42,942 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 450,938,895

LCM of Fractions 450/50,938/42,895/942 is 18888975

2 450, 938, 895
5 225, 469, 895
45, 469, 179

∴ So the LCM of the given numbers is 2 x 5 x 45 x 469 x 179 = 37777950

Least Common Multiple of 450,938,895 with GCF Formula

Least Common Multiple of 450,938,895 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 450,938,895 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(450,938,895) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(450,938,895) x common factors =1 x 10 = 10

LCM(450,938,895) = ( 450 × 938 × 895 ) / 10

LCM(450,938,895) = 377779500 / 10

LCM(450,938,895) = 37777950


Lets's calculate GCF of 50,42,942

2 50, 42, 942
25, 21, 471

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37777950/2

Therefore the LCM of Fractions 450/50,938/42,895/942 is 18888975

Greatest Common Factor of 50,42,942 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,42,942 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 942

List of positive integer factors of 942 that divides 942 without a remainder.

1,2,3,6,157,314,471,942

Greatest Common Factor

We found the factors 50,42,942 . The biggest common factor number is the GCF number.
So the greatest common factor 50,42,942 is 2.


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 450/50, 938/42, 895/942

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 450/50, 938/42, 895/942?

Answer: LCM of Numerators as per given numbers 450/50, 938/42, 895/942 is

LCM of Numerators i.e. for 450,938,895 is 37777950

GCF of denominators i.e. for 50,42,942 is 2.

Thus, LCM of Fractions is 18888975.Finally, LCM of Fractions for 450/50, 938/42, 895/942 is 18888975.