Least Common Multiple of 782/280, 3798/374

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 782/280, 3798/374 quickly i.e. 742509 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 782/280, 3798/374 is 742509.

LCM(782/280, 3798/374) = 742509

LCM of 782/280, 3798/374

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 782/280,3798/374

Given numbers are 782/280,3798/374

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 782,3798

Least Common Multiple of Numerators i.e. LCM of 782,3798 is 1485018.

GCF of Denominators means GCF of 280,374 as per the given fractions.

GCF of 280,374 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 782,3798

LCM of Fractions 782/280,3798/374 is 742509

2 782, 3798
391, 1899

∴ So the LCM of the given numbers is 2 x 391 x 1899 = 1485018

Least Common Multiple of 782,3798 with GCF Formula

Least Common Multiple of 782,3798 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 782,3798 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(782,3798) = 2

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

GCF(782,3798) x common factors =2 x 1 = 2

LCM(782,3798) = ( 782 × 3798 ) / 2

LCM(782,3798) = 2970036 / 2

LCM(782,3798) = 1485018


Lets's calculate GCF of 280,374

2 280, 374
140, 187

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1485018/2

Therefore the LCM of Fractions 782/280,3798/374 is 742509

Greatest Common Factor of 280,374 By Matching Biggest Common Factor Method

Greatest Common Factor of 280,374 By Matching Biggest Common Factor Method

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Greatest Common Factor

We found the factors 280,374 . The biggest common factor number is the GCF number.
So the greatest common factor 280,374 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 782/280, 3798/374

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 782/280, 3798/374?

Answer: LCM of Numerators as per given numbers 782/280, 3798/374 is

LCM of Numerators i.e. for 782,3798 is 1485018

GCF of denominators i.e. for 280,374 is 2.

Thus, LCM of Fractions is 742509.Finally, LCM of Fractions for 782/280, 3798/374 is 742509.