Least Common Multiple of 938/258, 7482/896

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 938/258, 7482/896 quickly i.e. 1754529 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 938/258, 7482/896 is 1754529.

LCM(938/258, 7482/896) = 1754529

LCM of 938/258, 7482/896

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 938/258,7482/896

Given numbers are 938/258,7482/896

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 938,7482

Least Common Multiple of Numerators i.e. LCM of 938,7482 is 3509058.

GCF of Denominators means GCF of 258,896 as per the given fractions.

GCF of 258,896 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 938,7482

LCM of Fractions 938/258,7482/896 is 1754529

2 938, 7482
469, 3741

∴ So the LCM of the given numbers is 2 x 469 x 3741 = 3509058

Least Common Multiple of 938,7482 with GCF Formula

Least Common Multiple of 938,7482 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 938,7482 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(938,7482) = 2

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

GCF(938,7482) x common factors =2 x 1 = 2

LCM(938,7482) = ( 938 × 7482 ) / 2

LCM(938,7482) = 7018116 / 2

LCM(938,7482) = 3509058


Lets's calculate GCF of 258,896

2 258, 896
129, 448

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3509058/2

Therefore the LCM of Fractions 938/258,7482/896 is 1754529

Greatest Common Factor of 258,896 By Matching Biggest Common Factor Method

Greatest Common Factor of 258,896 By Matching Biggest Common Factor Method

Factors of 258

List of positive integer factors of 258 that divides 258 without a remainder.

1,2,3,6,43,86,129,258

Factors of 896

List of positive integer factors of 896 that divides 896 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896

Greatest Common Factor

We found the factors 258,896 . The biggest common factor number is the GCF number.
So the greatest common factor 258,896 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 938/258, 7482/896

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 938/258, 7482/896?

Answer: LCM of Numerators as per given numbers 938/258, 7482/896 is

LCM of Numerators i.e. for 938,7482 is 3509058

GCF of denominators i.e. for 258,896 is 2.

Thus, LCM of Fractions is 1754529.Finally, LCM of Fractions for 938/258, 7482/896 is 1754529.