Least Common Multiple of 796/10, 764/58, 880/984

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 796/10, 764/58, 880/984 quickly i.e. 16723960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 796/10, 764/58, 880/984 is 16723960.

LCM(796/10, 764/58, 880/984) = 16723960

LCM of 796/10, 764/58, 880/984

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 796/10,764/58,880/984

Given numbers are 796/10,764/58,880/984

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 796,764,880

Least Common Multiple of Numerators i.e. LCM of 796,764,880 is 33447920.

GCF of Denominators means GCF of 10,58,984 as per the given fractions.

GCF of 10,58,984 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 796,764,880

LCM of Fractions 796/10,764/58,880/984 is 16723960

2 796, 764, 880
2 398, 382, 440
199, 191, 220

∴ So the LCM of the given numbers is 2 x 2 x 199 x 191 x 220 = 33447920

Least Common Multiple of 796,764,880 with GCF Formula

Least Common Multiple of 796,764,880 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 796,764,880 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(796,764,880) = 4

common factors(in case of two or more numbers have common factors) = 4

GCF(796,764,880) x common factors =4 x 4 = 16

LCM(796,764,880) = ( 796 × 764 × 880 ) / 16

LCM(796,764,880) = 535166720 / 16

LCM(796,764,880) = 33447920


Lets's calculate GCF of 10,58,984

2 10, 58, 984
5, 29, 492

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33447920/2

Therefore the LCM of Fractions 796/10,764/58,880/984 is 16723960

Greatest Common Factor of 10,58,984 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,58,984 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Greatest Common Factor

We found the factors 10,58,984 . The biggest common factor number is the GCF number.
So the greatest common factor 10,58,984 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 796/10, 764/58, 880/984

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 796/10, 764/58, 880/984?

Answer: LCM of Numerators as per given numbers 796/10, 764/58, 880/984 is

LCM of Numerators i.e. for 796,764,880 is 33447920

GCF of denominators i.e. for 10,58,984 is 2.

Thus, LCM of Fractions is 16723960.Finally, LCM of Fractions for 796/10, 764/58, 880/984 is 16723960.