Least Common Multiple of 1592/340, 8972/118

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1592/340, 8972/118 quickly i.e. 1785428 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1592/340, 8972/118 is 1785428.

LCM(1592/340, 8972/118) = 1785428

LCM of 1592/340, 8972/118

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 1592/340,8972/118

Given numbers are 1592/340,8972/118

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 1592,8972

Least Common Multiple of Numerators i.e. LCM of 1592,8972 is 3570856.

GCF of Denominators means GCF of 340,118 as per the given fractions.

GCF of 340,118 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1592,8972

LCM of Fractions 1592/340,8972/118 is 1785428

2 1592, 8972
2 796, 4486
398, 2243

∴ So the LCM of the given numbers is 2 x 2 x 398 x 2243 = 3570856

Least Common Multiple of 1592,8972 with GCF Formula

Least Common Multiple of 1592,8972 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 1592,8972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1592,8972) = 4

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

GCF(1592,8972) x common factors =4 x 1 = 4

LCM(1592,8972) = ( 1592 × 8972 ) / 4

LCM(1592,8972) = 14283424 / 4

LCM(1592,8972) = 3570856


Lets's calculate GCF of 340,118

2 340, 118
170, 59

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3570856/2

Therefore the LCM of Fractions 1592/340,8972/118 is 1785428

Greatest Common Factor of 340,118 By Matching Biggest Common Factor Method

Greatest Common Factor of 340,118 By Matching Biggest Common Factor Method

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Factors of 118

List of positive integer factors of 118 that divides 118 without a remainder.

1,2,59,118

Greatest Common Factor

We found the factors 340,118 . The biggest common factor number is the GCF number.
So the greatest common factor 340,118 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 1592/340, 8972/118

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 1592/340, 8972/118?

Answer: LCM of Numerators as per given numbers 1592/340, 8972/118 is

LCM of Numerators i.e. for 1592,8972 is 3570856

GCF of denominators i.e. for 340,118 is 2.

Thus, LCM of Fractions is 1785428.Finally, LCM of Fractions for 1592/340, 8972/118 is 1785428.