Least Common Multiple of 313/776, 1204/726

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 313/776, 1204/726 quickly i.e. 188426 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 313/776, 1204/726 is 188426.

LCM(313/776, 1204/726) = 188426

LCM of 313/776, 1204/726

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 313/776,1204/726

Given numbers are 313/776,1204/726

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 313,1204

Least Common Multiple of Numerators i.e. LCM of 313,1204 is 376852.

GCF of Denominators means GCF of 776,726 as per the given fractions.

GCF of 776,726 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 313,1204

LCM of Fractions 313/776,1204/726 is 188426

Given numbers has no common factors except 1. So, there LCM is their product i.e 376852

Least Common Multiple of 313,1204 with GCF Formula

Least Common Multiple of 313,1204 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 313,1204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(313,1204) = 1

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

GCF(313,1204) x common factors =1 x 1 = 1

LCM(313,1204) = ( 313 × 1204 ) / 1

LCM(313,1204) = 376852 / 1

LCM(313,1204) = 376852


Lets's calculate GCF of 776,726

2 776, 726
388, 363

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 376852/2

Therefore the LCM of Fractions 313/776,1204/726 is 188426

Greatest Common Factor of 776,726 By Matching Biggest Common Factor Method

Greatest Common Factor of 776,726 By Matching Biggest Common Factor Method

Factors of 776

List of positive integer factors of 776 that divides 776 without a remainder.

1,2,4,8,97,194,388,776

Factors of 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Greatest Common Factor

We found the factors 776,726 . The biggest common factor number is the GCF number.
So the greatest common factor 776,726 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 313/776, 1204/726

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 313/776, 1204/726?

Answer: LCM of Numerators as per given numbers 313/776, 1204/726 is

LCM of Numerators i.e. for 313,1204 is 376852

GCF of denominators i.e. for 776,726 is 2.

Thus, LCM of Fractions is 188426.Finally, LCM of Fractions for 313/776, 1204/726 is 188426.