Least Common Multiple of 190/42, 840/5762

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 190/42, 840/5762 quickly i.e. 7980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 190/42, 840/5762 is 7980.

LCM(190/42, 840/5762) = 7980

LCM of 190/42, 840/5762

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 190/42,840/5762

Given numbers are 190/42,840/5762

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 190,840

Least Common Multiple of Numerators i.e. LCM of 190,840 is 15960.

GCF of Denominators means GCF of 42,5762 as per the given fractions.

GCF of 42,5762 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 190,840

LCM of Fractions 190/42,840/5762 is 7980

2 190, 840
5 95, 420
19, 84

∴ So the LCM of the given numbers is 2 x 5 x 19 x 84 = 15960

Least Common Multiple of 190,840 with GCF Formula

Least Common Multiple of 190,840 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 190,840 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(190,840) = 10

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

GCF(190,840) x common factors =10 x 1 = 10

LCM(190,840) = ( 190 × 840 ) / 10

LCM(190,840) = 159600 / 10

LCM(190,840) = 15960


Lets's calculate GCF of 42,5762

2 42, 5762
21, 2881

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15960/2

Therefore the LCM of Fractions 190/42,840/5762 is 7980

Greatest Common Factor of 42,5762 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,5762 By Matching Biggest Common Factor Method

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 5762

List of positive integer factors of 5762 that divides 5762 without a remainder.

1,2,43,67,86,134,2881,5762

Greatest Common Factor

We found the factors 42,5762 . The biggest common factor number is the GCF number.
So the greatest common factor 42,5762 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 190/42, 840/5762

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 190/42, 840/5762?

Answer: LCM of Numerators as per given numbers 190/42, 840/5762 is

LCM of Numerators i.e. for 190,840 is 15960

GCF of denominators i.e. for 42,5762 is 2.

Thus, LCM of Fractions is 7980.Finally, LCM of Fractions for 190/42, 840/5762 is 7980.