Least Common Multiple of 35/428, 19/142, 642/148

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/428, 19/142, 642/148 quickly i.e. 213465 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/428, 19/142, 642/148 is 213465.

LCM(35/428, 19/142, 642/148) = 213465

LCM of 35/428, 19/142, 642/148

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 35/428,19/142,642/148

Given numbers are 35/428,19/142,642/148

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 35,19,642

Least Common Multiple of Numerators i.e. LCM of 35,19,642 is 426930.

GCF of Denominators means GCF of 428,142,148 as per the given fractions.

GCF of 428,142,148 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,19,642

LCM of Fractions 35/428,19/142,642/148 is 213465

Given numbers has no common factors except 1. So, there LCM is their product i.e 426930

Least Common Multiple of 35,19,642 with GCF Formula

Least Common Multiple of 35,19,642 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 35,19,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,19,642) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(35,19,642) x common factors =1 x 1 = 1

LCM(35,19,642) = ( 35 × 19 × 642 ) / 1

LCM(35,19,642) = 426930 / 1

LCM(35,19,642) = 426930


Lets's calculate GCF of 428,142,148

2 428, 142, 148
214, 71, 74

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 426930/2

Therefore the LCM of Fractions 35/428,19/142,642/148 is 213465

Greatest Common Factor of 428,142,148 By Matching Biggest Common Factor Method

Greatest Common Factor of 428,142,148 By Matching Biggest Common Factor Method

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Factors of 148

List of positive integer factors of 148 that divides 148 without a remainder.

1,2,4,37,74,148

Greatest Common Factor

We found the factors 428,142,148 . The biggest common factor number is the GCF number.
So the greatest common factor 428,142,148 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 35/428, 19/142, 642/148

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 35/428, 19/142, 642/148?

Answer: LCM of Numerators as per given numbers 35/428, 19/142, 642/148 is

LCM of Numerators i.e. for 35,19,642 is 426930

GCF of denominators i.e. for 428,142,148 is 2.

Thus, LCM of Fractions is 213465.Finally, LCM of Fractions for 35/428, 19/142, 642/148 is 213465.