Least Common Multiple of 94/240, 1430/2870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 94/240, 1430/2870 quickly i.e. 6721 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 94/240, 1430/2870 is 6721.

LCM(94/240, 1430/2870) = 6721

LCM of 94/240, 1430/2870

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 94/240,1430/2870

Given numbers are 94/240,1430/2870

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 94,1430

Least Common Multiple of Numerators i.e. LCM of 94,1430 is 67210.

GCF of Denominators means GCF of 240,2870 as per the given fractions.

GCF of 240,2870 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 94,1430

LCM of Fractions 94/240,1430/2870 is 6721

2 94, 1430
47, 715

∴ So the LCM of the given numbers is 2 x 47 x 715 = 67210

Least Common Multiple of 94,1430 with GCF Formula

Least Common Multiple of 94,1430 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 94,1430 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,1430) = 2

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

GCF(94,1430) x common factors =2 x 1 = 2

LCM(94,1430) = ( 94 × 1430 ) / 2

LCM(94,1430) = 134420 / 2

LCM(94,1430) = 67210


Lets's calculate GCF of 240,2870

2 240, 2870
5 120, 1435
24, 287

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67210/10

Therefore the LCM of Fractions 94/240,1430/2870 is 6721

Greatest Common Factor of 240,2870 By Matching Biggest Common Factor Method

Greatest Common Factor of 240,2870 By Matching Biggest Common Factor Method

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Factors of 2870

List of positive integer factors of 2870 that divides 2870 without a remainder.

1,2,5,7,10,14,35,41,70,82,205,287,410,574,1435,2870

Greatest Common Factor

We found the factors 240,2870 . The biggest common factor number is the GCF number.
So the greatest common factor 240,2870 is 10.


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 94/240, 1430/2870

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 94/240, 1430/2870?

Answer: LCM of Numerators as per given numbers 94/240, 1430/2870 is

LCM of Numerators i.e. for 94,1430 is 67210

GCF of denominators i.e. for 240,2870 is 10.

Thus, LCM of Fractions is 6721.Finally, LCM of Fractions for 94/240, 1430/2870 is 6721.