Least Common Multiple of 769/992, 274/416

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 769/992, 274/416 quickly i.e. 210706/32 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 769/992, 274/416 is 210706/32.

LCM(769/992, 274/416) = 210706/32

LCM of 769/992, 274/416

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 769/992,274/416

Given numbers are 769/992,274/416

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 769,274

Least Common Multiple of Numerators i.e. LCM of 769,274 is 210706.

GCF of Denominators means GCF of 992,416 as per the given fractions.

GCF of 992,416 is 32 as it is the largest common factor for these numbers.

Lets's calculate LCM of 769,274

LCM of Fractions 769/992,274/416 is 210706/32

Given numbers has no common factors except 1. So, there LCM is their product i.e 210706

Least Common Multiple of 769,274 with GCF Formula

Least Common Multiple of 769,274 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 769,274 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(769,274) = 1

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

GCF(769,274) x common factors =1 x 1 = 1

LCM(769,274) = ( 769 × 274 ) / 1

LCM(769,274) = 210706 / 1

LCM(769,274) = 210706


Lets's calculate GCF of 992,416

2 992, 416
2 496, 208
2 248, 104
2 124, 52
2 62, 26
31, 13

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 210706/32

Therefore the LCM of Fractions 769/992,274/416 is 210706/32

Greatest Common Factor of 992,416 By Matching Biggest Common Factor Method

Greatest Common Factor of 992,416 By Matching Biggest Common Factor Method

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

Factors of 416

List of positive integer factors of 416 that divides 416 without a remainder.

1,2,4,8,13,16,26,32,52,104,208,416

Greatest Common Factor

We found the factors 992,416 . The biggest common factor number is the GCF number.
So the greatest common factor 992,416 is 32.


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 769/992, 274/416

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 769/992, 274/416?

Answer: LCM of Numerators as per given numbers 769/992, 274/416 is

LCM of Numerators i.e. for 769,274 is 210706

GCF of denominators i.e. for 992,416 is 32.

Thus, LCM of Fractions is 210706/32.Finally, LCM of Fractions for 769/992, 274/416 is 210706/32.