Least Common Multiple of 14/40, 115/32, 870/182

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/40, 115/32, 870/182 quickly i.e. 70035 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/40, 115/32, 870/182 is 70035.

LCM(14/40, 115/32, 870/182) = 70035

LCM of 14/40, 115/32, 870/182

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 14/40,115/32,870/182

Given numbers are 14/40,115/32,870/182

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 14,115,870

Least Common Multiple of Numerators i.e. LCM of 14,115,870 is 140070.

GCF of Denominators means GCF of 40,32,182 as per the given fractions.

GCF of 40,32,182 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,115,870

LCM of Fractions 14/40,115/32,870/182 is 70035

2 14, 115, 870
5 7, 115, 435
7, 23, 87

∴ So the LCM of the given numbers is 2 x 5 x 7 x 23 x 87 = 140070

Least Common Multiple of 14,115,870 with GCF Formula

Least Common Multiple of 14,115,870 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 14,115,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,115,870) = 1

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

GCF(14,115,870) x common factors =1 x 10 = 10

LCM(14,115,870) = ( 14 × 115 × 870 ) / 10

LCM(14,115,870) = 1400700 / 10

LCM(14,115,870) = 140070


Lets's calculate GCF of 40,32,182

2 40, 32, 182
20, 16, 91

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 140070/2

Therefore the LCM of Fractions 14/40,115/32,870/182 is 70035

Greatest Common Factor of 40,32,182 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,32,182 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 182

List of positive integer factors of 182 that divides 182 without a remainder.

1,2,7,13,14,26,91,182

Greatest Common Factor

We found the factors 40,32,182 . The biggest common factor number is the GCF number.
So the greatest common factor 40,32,182 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 14/40, 115/32, 870/182

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 14/40, 115/32, 870/182?

Answer: LCM of Numerators as per given numbers 14/40, 115/32, 870/182 is

LCM of Numerators i.e. for 14,115,870 is 140070

GCF of denominators i.e. for 40,32,182 is 2.

Thus, LCM of Fractions is 70035.Finally, LCM of Fractions for 14/40, 115/32, 870/182 is 70035.