Least Common Multiple of 9022/753, 4219/837

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9022/753, 4219/837 quickly i.e. 38063818/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9022/753, 4219/837 is 38063818/3.

LCM(9022/753, 4219/837) = 38063818/3

LCM of 9022/753, 4219/837

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 9022/753,4219/837

Given numbers are 9022/753,4219/837

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 9022,4219

Least Common Multiple of Numerators i.e. LCM of 9022,4219 is 38063818.

GCF of Denominators means GCF of 753,837 as per the given fractions.

GCF of 753,837 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9022,4219

LCM of Fractions 9022/753,4219/837 is 38063818/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 38063818

Least Common Multiple of 9022,4219 with GCF Formula

Least Common Multiple of 9022,4219 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 9022,4219 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9022,4219) = 1

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

GCF(9022,4219) x common factors =1 x 1 = 1

LCM(9022,4219) = ( 9022 × 4219 ) / 1

LCM(9022,4219) = 38063818 / 1

LCM(9022,4219) = 38063818


Lets's calculate GCF of 753,837

3 753, 837
251, 279

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38063818/3

Therefore the LCM of Fractions 9022/753,4219/837 is 38063818/3

Greatest Common Factor of 753,837 By Matching Biggest Common Factor Method

Greatest Common Factor of 753,837 By Matching Biggest Common Factor Method

Factors of 753

List of positive integer factors of 753 that divides 753 without a remainder.

1,3,251,753

Factors of 837

List of positive integer factors of 837 that divides 837 without a remainder.

1,3,9,27,31,93,279,837

Greatest Common Factor

We found the factors 753,837 . The biggest common factor number is the GCF number.
So the greatest common factor 753,837 is 3.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 9022/753, 4219/837

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 9022/753, 4219/837?

Answer: LCM of Numerators as per given numbers 9022/753, 4219/837 is

LCM of Numerators i.e. for 9022,4219 is 38063818

GCF of denominators i.e. for 753,837 is 3.

Thus, LCM of Fractions is 38063818/3.Finally, LCM of Fractions for 9022/753, 4219/837 is 38063818/3.