Least Common Multiple of 810/716, 1974/5255

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 810/716, 1974/5255 quickly i.e. 266490 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 810/716, 1974/5255 is 266490.

LCM(810/716, 1974/5255) = 266490

LCM of 810/716, 1974/5255

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 810/716,1974/5255

Given numbers are 810/716,1974/5255

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 810,1974

Least Common Multiple of Numerators i.e. LCM of 810,1974 is 266490.

GCF of Denominators means GCF of 716,5255 as per the given fractions.

GCF of 716,5255 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 810,1974

LCM of Fractions 810/716,1974/5255 is 266490

2 810, 1974
3 405, 987
135, 329

∴ So the LCM of the given numbers is 2 x 3 x 135 x 329 = 266490

Least Common Multiple of 810,1974 with GCF Formula

Least Common Multiple of 810,1974 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 810,1974 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(810,1974) = 6

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

GCF(810,1974) x common factors =6 x 1 = 6

LCM(810,1974) = ( 810 × 1974 ) / 6

LCM(810,1974) = 1598940 / 6

LCM(810,1974) = 266490


Lets's calculate GCF of 716,5255

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 266490/1

Therefore the LCM of Fractions 810/716,1974/5255 is 266490

Greatest Common Factor of 716,5255 By Matching Biggest Common Factor Method

Greatest Common Factor of 716,5255 By Matching Biggest Common Factor Method

Factors of 716

List of positive integer factors of 716 that divides 716 without a remainder.

1,2,4,179,358,716

Factors of 5255

List of positive integer factors of 5255 that divides 5255 without a remainder.

1,5,1051,5255

Greatest Common Factor

We found the factors 716,5255 . The biggest common factor number is the GCF number.
So the greatest common factor 716,5255 is 1.


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 810/716, 1974/5255

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 810/716, 1974/5255?

Answer: LCM of Numerators as per given numbers 810/716, 1974/5255 is

LCM of Numerators i.e. for 810,1974 is 266490

GCF of denominators i.e. for 716,5255 is 1.

Thus, LCM of Fractions is 266490.Finally, LCM of Fractions for 810/716, 1974/5255 is 266490.