Least Common Multiple of 754/245, 3848/410

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 754/245, 3848/410 quickly i.e. 111592/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 754/245, 3848/410 is 111592/5.

LCM(754/245, 3848/410) = 111592/5

LCM of 754/245, 3848/410

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 754/245,3848/410

Given numbers are 754/245,3848/410

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 754,3848

Least Common Multiple of Numerators i.e. LCM of 754,3848 is 111592.

GCF of Denominators means GCF of 245,410 as per the given fractions.

GCF of 245,410 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 754,3848

LCM of Fractions 754/245,3848/410 is 111592/5

2 754, 3848
13 377, 1924
29, 148

∴ So the LCM of the given numbers is 2 x 13 x 29 x 148 = 111592

Least Common Multiple of 754,3848 with GCF Formula

Least Common Multiple of 754,3848 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 754,3848 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(754,3848) = 26

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

GCF(754,3848) x common factors =26 x 1 = 26

LCM(754,3848) = ( 754 × 3848 ) / 26

LCM(754,3848) = 2901392 / 26

LCM(754,3848) = 111592


Lets's calculate GCF of 245,410

5 245, 410
49, 82

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 111592/5

Therefore the LCM of Fractions 754/245,3848/410 is 111592/5

Greatest Common Factor of 245,410 By Matching Biggest Common Factor Method

Greatest Common Factor of 245,410 By Matching Biggest Common Factor Method

Factors of 245

List of positive integer factors of 245 that divides 245 without a remainder.

1,5,7,35,49,245

Factors of 410

List of positive integer factors of 410 that divides 410 without a remainder.

1,2,5,10,41,82,205,410

Greatest Common Factor

We found the factors 245,410 . The biggest common factor number is the GCF number.
So the greatest common factor 245,410 is 5.


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 754/245, 3848/410

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 754/245, 3848/410?

Answer: LCM of Numerators as per given numbers 754/245, 3848/410 is

LCM of Numerators i.e. for 754,3848 is 111592

GCF of denominators i.e. for 245,410 is 5.

Thus, LCM of Fractions is 111592/5.Finally, LCM of Fractions for 754/245, 3848/410 is 111592/5.