Least Common Multiple of 842/278, 4098/532

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 842/278, 4098/532 quickly i.e. 862629 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 842/278, 4098/532 is 862629.

LCM(842/278, 4098/532) = 862629

LCM of 842/278, 4098/532

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 842/278,4098/532

Given numbers are 842/278,4098/532

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 842,4098

Least Common Multiple of Numerators i.e. LCM of 842,4098 is 1725258.

GCF of Denominators means GCF of 278,532 as per the given fractions.

GCF of 278,532 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 842,4098

LCM of Fractions 842/278,4098/532 is 862629

2 842, 4098
421, 2049

∴ So the LCM of the given numbers is 2 x 421 x 2049 = 1725258

Least Common Multiple of 842,4098 with GCF Formula

Least Common Multiple of 842,4098 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 842,4098 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(842,4098) = 2

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

GCF(842,4098) x common factors =2 x 1 = 2

LCM(842,4098) = ( 842 × 4098 ) / 2

LCM(842,4098) = 3450516 / 2

LCM(842,4098) = 1725258


Lets's calculate GCF of 278,532

2 278, 532
139, 266

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1725258/2

Therefore the LCM of Fractions 842/278,4098/532 is 862629

Greatest Common Factor of 278,532 By Matching Biggest Common Factor Method

Greatest Common Factor of 278,532 By Matching Biggest Common Factor Method

Factors of 278

List of positive integer factors of 278 that divides 278 without a remainder.

1,2,139,278

Factors of 532

List of positive integer factors of 532 that divides 532 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,532

Greatest Common Factor

We found the factors 278,532 . The biggest common factor number is the GCF number.
So the greatest common factor 278,532 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 842/278, 4098/532

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 842/278, 4098/532?

Answer: LCM of Numerators as per given numbers 842/278, 4098/532 is

LCM of Numerators i.e. for 842,4098 is 1725258

GCF of denominators i.e. for 278,532 is 2.

Thus, LCM of Fractions is 862629.Finally, LCM of Fractions for 842/278, 4098/532 is 862629.