Least Common Multiple of 9140/122, 2262/494

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9140/122, 2262/494 quickly i.e. 5168670 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9140/122, 2262/494 is 5168670.

LCM(9140/122, 2262/494) = 5168670

LCM of 9140/122, 2262/494

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 9140/122,2262/494

Given numbers are 9140/122,2262/494

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 9140,2262

Least Common Multiple of Numerators i.e. LCM of 9140,2262 is 10337340.

GCF of Denominators means GCF of 122,494 as per the given fractions.

GCF of 122,494 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9140,2262

LCM of Fractions 9140/122,2262/494 is 5168670

2 9140, 2262
4570, 1131

∴ So the LCM of the given numbers is 2 x 4570 x 1131 = 10337340

Least Common Multiple of 9140,2262 with GCF Formula

Least Common Multiple of 9140,2262 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 9140,2262 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9140,2262) = 2

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

GCF(9140,2262) x common factors =2 x 1 = 2

LCM(9140,2262) = ( 9140 × 2262 ) / 2

LCM(9140,2262) = 20674680 / 2

LCM(9140,2262) = 10337340


Lets's calculate GCF of 122,494

2 122, 494
61, 247

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10337340/2

Therefore the LCM of Fractions 9140/122,2262/494 is 5168670

Greatest Common Factor of 122,494 By Matching Biggest Common Factor Method

Greatest Common Factor of 122,494 By Matching Biggest Common Factor Method

Factors of 122

List of positive integer factors of 122 that divides 122 without a remainder.

1,2,61,122

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Greatest Common Factor

We found the factors 122,494 . The biggest common factor number is the GCF number.
So the greatest common factor 122,494 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 9140/122, 2262/494

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 9140/122, 2262/494?

Answer: LCM of Numerators as per given numbers 9140/122, 2262/494 is

LCM of Numerators i.e. for 9140,2262 is 10337340

GCF of denominators i.e. for 122,494 is 2.

Thus, LCM of Fractions is 5168670.Finally, LCM of Fractions for 9140/122, 2262/494 is 5168670.