Least Common Multiple of 2022/428, 1088/894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2022/428, 1088/894 quickly i.e. 549984 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2022/428, 1088/894 is 549984.

LCM(2022/428, 1088/894) = 549984

LCM of 2022/428, 1088/894

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 2022/428,1088/894

Given numbers are 2022/428,1088/894

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 2022,1088

Least Common Multiple of Numerators i.e. LCM of 2022,1088 is 1099968.

GCF of Denominators means GCF of 428,894 as per the given fractions.

GCF of 428,894 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2022,1088

LCM of Fractions 2022/428,1088/894 is 549984

2 2022, 1088
1011, 544

∴ So the LCM of the given numbers is 2 x 1011 x 544 = 1099968

Least Common Multiple of 2022,1088 with GCF Formula

Least Common Multiple of 2022,1088 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 2022,1088 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2022,1088) = 2

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

GCF(2022,1088) x common factors =2 x 1 = 2

LCM(2022,1088) = ( 2022 × 1088 ) / 2

LCM(2022,1088) = 2199936 / 2

LCM(2022,1088) = 1099968


Lets's calculate GCF of 428,894

2 428, 894
214, 447

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1099968/2

Therefore the LCM of Fractions 2022/428,1088/894 is 549984

Greatest Common Factor of 428,894 By Matching Biggest Common Factor Method

Greatest Common Factor of 428,894 By Matching Biggest Common Factor Method

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Greatest Common Factor

We found the factors 428,894 . The biggest common factor number is the GCF number.
So the greatest common factor 428,894 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 2022/428, 1088/894

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 2022/428, 1088/894?

Answer: LCM of Numerators as per given numbers 2022/428, 1088/894 is

LCM of Numerators i.e. for 2022,1088 is 1099968

GCF of denominators i.e. for 428,894 is 2.

Thus, LCM of Fractions is 549984.Finally, LCM of Fractions for 2022/428, 1088/894 is 549984.