Least Common Multiple of 715/488, 776/826

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 715/488, 776/826 quickly i.e. 277420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 715/488, 776/826 is 277420.

LCM(715/488, 776/826) = 277420

LCM of 715/488, 776/826

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 715/488,776/826

Given numbers are 715/488,776/826

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 715,776

Least Common Multiple of Numerators i.e. LCM of 715,776 is 554840.

GCF of Denominators means GCF of 488,826 as per the given fractions.

GCF of 488,826 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 715,776

LCM of Fractions 715/488,776/826 is 277420

Given numbers has no common factors except 1. So, there LCM is their product i.e 554840

Least Common Multiple of 715,776 with GCF Formula

Least Common Multiple of 715,776 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 715,776 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(715,776) = 1

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

GCF(715,776) x common factors =1 x 1 = 1

LCM(715,776) = ( 715 × 776 ) / 1

LCM(715,776) = 554840 / 1

LCM(715,776) = 554840


Lets's calculate GCF of 488,826

2 488, 826
244, 413

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 554840/2

Therefore the LCM of Fractions 715/488,776/826 is 277420

Greatest Common Factor of 488,826 By Matching Biggest Common Factor Method

Greatest Common Factor of 488,826 By Matching Biggest Common Factor Method

Factors of 488

List of positive integer factors of 488 that divides 488 without a remainder.

1,2,4,8,61,122,244,488

Factors of 826

List of positive integer factors of 826 that divides 826 without a remainder.

1,2,7,14,59,118,413,826

Greatest Common Factor

We found the factors 488,826 . The biggest common factor number is the GCF number.
So the greatest common factor 488,826 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 715/488, 776/826

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 715/488, 776/826?

Answer: LCM of Numerators as per given numbers 715/488, 776/826 is

LCM of Numerators i.e. for 715,776 is 554840

GCF of denominators i.e. for 488,826 is 2.

Thus, LCM of Fractions is 277420.Finally, LCM of Fractions for 715/488, 776/826 is 277420.