Least Common Multiple of 930/18, 872/7022

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 930/18, 872/7022 quickly i.e. 202740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 930/18, 872/7022 is 202740.

LCM(930/18, 872/7022) = 202740

LCM of 930/18, 872/7022

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 930/18,872/7022

Given numbers are 930/18,872/7022

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 930,872

Least Common Multiple of Numerators i.e. LCM of 930,872 is 405480.

GCF of Denominators means GCF of 18,7022 as per the given fractions.

GCF of 18,7022 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 930,872

LCM of Fractions 930/18,872/7022 is 202740

2 930, 872
465, 436

∴ So the LCM of the given numbers is 2 x 465 x 436 = 405480

Least Common Multiple of 930,872 with GCF Formula

Least Common Multiple of 930,872 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 930,872 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(930,872) = 2

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

GCF(930,872) x common factors =2 x 1 = 2

LCM(930,872) = ( 930 × 872 ) / 2

LCM(930,872) = 810960 / 2

LCM(930,872) = 405480


Lets's calculate GCF of 18,7022

2 18, 7022
9, 3511

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 405480/2

Therefore the LCM of Fractions 930/18,872/7022 is 202740

Greatest Common Factor of 18,7022 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,7022 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 7022

List of positive integer factors of 7022 that divides 7022 without a remainder.

1,2,3511,7022

Greatest Common Factor

We found the factors 18,7022 . The biggest common factor number is the GCF number.
So the greatest common factor 18,7022 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 930/18, 872/7022

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 930/18, 872/7022?

Answer: LCM of Numerators as per given numbers 930/18, 872/7022 is

LCM of Numerators i.e. for 930,872 is 405480

GCF of denominators i.e. for 18,7022 is 2.

Thus, LCM of Fractions is 202740.Finally, LCM of Fractions for 930/18, 872/7022 is 202740.