Least Common Multiple of 882/490, 7594/482

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 882/490, 7594/482 quickly i.e. 1674477 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 882/490, 7594/482 is 1674477.

LCM(882/490, 7594/482) = 1674477

LCM of 882/490, 7594/482

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 882/490,7594/482

Given numbers are 882/490,7594/482

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 882,7594

Least Common Multiple of Numerators i.e. LCM of 882,7594 is 3348954.

GCF of Denominators means GCF of 490,482 as per the given fractions.

GCF of 490,482 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 882,7594

LCM of Fractions 882/490,7594/482 is 1674477

2 882, 7594
441, 3797

∴ So the LCM of the given numbers is 2 x 441 x 3797 = 3348954

Least Common Multiple of 882,7594 with GCF Formula

Least Common Multiple of 882,7594 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 882,7594 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(882,7594) = 2

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

GCF(882,7594) x common factors =2 x 1 = 2

LCM(882,7594) = ( 882 × 7594 ) / 2

LCM(882,7594) = 6697908 / 2

LCM(882,7594) = 3348954


Lets's calculate GCF of 490,482

2 490, 482
245, 241

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3348954/2

Therefore the LCM of Fractions 882/490,7594/482 is 1674477

Greatest Common Factor of 490,482 By Matching Biggest Common Factor Method

Greatest Common Factor of 490,482 By Matching Biggest Common Factor Method

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Factors of 482

List of positive integer factors of 482 that divides 482 without a remainder.

1,2,241,482

Greatest Common Factor

We found the factors 490,482 . The biggest common factor number is the GCF number.
So the greatest common factor 490,482 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 882/490, 7594/482

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 882/490, 7594/482?

Answer: LCM of Numerators as per given numbers 882/490, 7594/482 is

LCM of Numerators i.e. for 882,7594 is 3348954

GCF of denominators i.e. for 490,482 is 2.

Thus, LCM of Fractions is 1674477.Finally, LCM of Fractions for 882/490, 7594/482 is 1674477.