Least Common Multiple of 202/74, 103/88, 146/42

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 202/74, 103/88, 146/42 quickly i.e. 759419 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 202/74, 103/88, 146/42 is 759419.

LCM(202/74, 103/88, 146/42) = 759419

LCM of 202/74, 103/88, 146/42

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 202/74,103/88,146/42

Given numbers are 202/74,103/88,146/42

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 202,103,146

Least Common Multiple of Numerators i.e. LCM of 202,103,146 is 1518838.

GCF of Denominators means GCF of 74,88,42 as per the given fractions.

GCF of 74,88,42 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 202,103,146

LCM of Fractions 202/74,103/88,146/42 is 759419

2 202, 103, 146
101, 103, 73

∴ So the LCM of the given numbers is 2 x 101 x 103 x 73 = 1518838

Least Common Multiple of 202,103,146 with GCF Formula

Least Common Multiple of 202,103,146 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 202,103,146 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(202,103,146) = 1

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

GCF(202,103,146) x common factors =1 x 2 = 2

LCM(202,103,146) = ( 202 × 103 × 146 ) / 2

LCM(202,103,146) = 3037676 / 2

LCM(202,103,146) = 1518838


Lets's calculate GCF of 74,88,42

2 74, 88, 42
37, 44, 21

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1518838/2

Therefore the LCM of Fractions 202/74,103/88,146/42 is 759419

Greatest Common Factor of 74,88,42 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,88,42 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 42

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

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

Greatest Common Factor

We found the factors 74,88,42 . The biggest common factor number is the GCF number.
So the greatest common factor 74,88,42 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 202/74, 103/88, 146/42

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 202/74, 103/88, 146/42?

Answer: LCM of Numerators as per given numbers 202/74, 103/88, 146/42 is

LCM of Numerators i.e. for 202,103,146 is 1518838

GCF of denominators i.e. for 74,88,42 is 2.

Thus, LCM of Fractions is 759419.Finally, LCM of Fractions for 202/74, 103/88, 146/42 is 759419.