Least Common Multiple of 1030/845, 1642/745

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1030/845, 1642/745 quickly i.e. 169126 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1030/845, 1642/745 is 169126.

LCM(1030/845, 1642/745) = 169126

LCM of 1030/845, 1642/745

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 1030/845,1642/745

Given numbers are 1030/845,1642/745

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 1030,1642

Least Common Multiple of Numerators i.e. LCM of 1030,1642 is 845630.

GCF of Denominators means GCF of 845,745 as per the given fractions.

GCF of 845,745 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1030,1642

LCM of Fractions 1030/845,1642/745 is 169126

2 1030, 1642
515, 821

∴ So the LCM of the given numbers is 2 x 515 x 821 = 845630

Least Common Multiple of 1030,1642 with GCF Formula

Least Common Multiple of 1030,1642 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 1030,1642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1030,1642) = 2

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

GCF(1030,1642) x common factors =2 x 1 = 2

LCM(1030,1642) = ( 1030 × 1642 ) / 2

LCM(1030,1642) = 1691260 / 2

LCM(1030,1642) = 845630


Lets's calculate GCF of 845,745

5 845, 745
169, 149

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 845630/5

Therefore the LCM of Fractions 1030/845,1642/745 is 169126

Greatest Common Factor of 845,745 By Matching Biggest Common Factor Method

Greatest Common Factor of 845,745 By Matching Biggest Common Factor Method

Factors of 845

List of positive integer factors of 845 that divides 845 without a remainder.

1,5,13,65,169,845

Factors of 745

List of positive integer factors of 745 that divides 745 without a remainder.

1,5,149,745

Greatest Common Factor

We found the factors 845,745 . The biggest common factor number is the GCF number.
So the greatest common factor 845,745 is 5.


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 1030/845, 1642/745

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 1030/845, 1642/745?

Answer: LCM of Numerators as per given numbers 1030/845, 1642/745 is

LCM of Numerators i.e. for 1030,1642 is 845630

GCF of denominators i.e. for 845,745 is 5.

Thus, LCM of Fractions is 169126.Finally, LCM of Fractions for 1030/845, 1642/745 is 169126.