Least Common Multiple of 802/876, 9416/784

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 802/876, 9416/784 quickly i.e. 943954 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 802/876, 9416/784 is 943954.

LCM(802/876, 9416/784) = 943954

LCM of 802/876, 9416/784

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 802/876,9416/784

Given numbers are 802/876,9416/784

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 802,9416

Least Common Multiple of Numerators i.e. LCM of 802,9416 is 3775816.

GCF of Denominators means GCF of 876,784 as per the given fractions.

GCF of 876,784 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 802,9416

LCM of Fractions 802/876,9416/784 is 943954

2 802, 9416
401, 4708

∴ So the LCM of the given numbers is 2 x 401 x 4708 = 3775816

Least Common Multiple of 802,9416 with GCF Formula

Least Common Multiple of 802,9416 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 802,9416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(802,9416) = 2

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

GCF(802,9416) x common factors =2 x 1 = 2

LCM(802,9416) = ( 802 × 9416 ) / 2

LCM(802,9416) = 7551632 / 2

LCM(802,9416) = 3775816


Lets's calculate GCF of 876,784

2 876, 784
2 438, 392
219, 196

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3775816/4

Therefore the LCM of Fractions 802/876,9416/784 is 943954

Greatest Common Factor of 876,784 By Matching Biggest Common Factor Method

Greatest Common Factor of 876,784 By Matching Biggest Common Factor Method

Factors of 876

List of positive integer factors of 876 that divides 876 without a remainder.

1,2,3,4,6,12,73,146,219,292,438,876

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Greatest Common Factor

We found the factors 876,784 . The biggest common factor number is the GCF number.
So the greatest common factor 876,784 is 4.


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 802/876, 9416/784

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 802/876, 9416/784?

Answer: LCM of Numerators as per given numbers 802/876, 9416/784 is

LCM of Numerators i.e. for 802,9416 is 3775816

GCF of denominators i.e. for 876,784 is 4.

Thus, LCM of Fractions is 943954.Finally, LCM of Fractions for 802/876, 9416/784 is 943954.