Least Common Multiple of 1456/338, 3962/175

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1456/338, 3962/175 quickly i.e. 412048 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1456/338, 3962/175 is 412048.

LCM(1456/338, 3962/175) = 412048

LCM of 1456/338, 3962/175

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 1456/338,3962/175

Given numbers are 1456/338,3962/175

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 1456,3962

Least Common Multiple of Numerators i.e. LCM of 1456,3962 is 412048.

GCF of Denominators means GCF of 338,175 as per the given fractions.

GCF of 338,175 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1456,3962

LCM of Fractions 1456/338,3962/175 is 412048

2 1456, 3962
7 728, 1981
104, 283

∴ So the LCM of the given numbers is 2 x 7 x 104 x 283 = 412048

Least Common Multiple of 1456,3962 with GCF Formula

Least Common Multiple of 1456,3962 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 1456,3962 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1456,3962) = 14

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

GCF(1456,3962) x common factors =14 x 1 = 14

LCM(1456,3962) = ( 1456 × 3962 ) / 14

LCM(1456,3962) = 5768672 / 14

LCM(1456,3962) = 412048


Lets's calculate GCF of 338,175

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 412048/1

Therefore the LCM of Fractions 1456/338,3962/175 is 412048

Greatest Common Factor of 338,175 By Matching Biggest Common Factor Method

Greatest Common Factor of 338,175 By Matching Biggest Common Factor Method

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Factors of 175

List of positive integer factors of 175 that divides 175 without a remainder.

1,5,7,25,35,175

Greatest Common Factor

We found the factors 338,175 . The biggest common factor number is the GCF number.
So the greatest common factor 338,175 is 1.


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 1456/338, 3962/175

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 1456/338, 3962/175?

Answer: LCM of Numerators as per given numbers 1456/338, 3962/175 is

LCM of Numerators i.e. for 1456,3962 is 412048

GCF of denominators i.e. for 338,175 is 1.

Thus, LCM of Fractions is 412048.Finally, LCM of Fractions for 1456/338, 3962/175 is 412048.