Least Common Multiple of 1204/496, 6277/868

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1204/496, 6277/868 quickly i.e. 7557508/124 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1204/496, 6277/868 is 7557508/124.

LCM(1204/496, 6277/868) = 7557508/124

LCM of 1204/496, 6277/868

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 1204/496,6277/868

Given numbers are 1204/496,6277/868

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 1204,6277

Least Common Multiple of Numerators i.e. LCM of 1204,6277 is 7557508.

GCF of Denominators means GCF of 496,868 as per the given fractions.

GCF of 496,868 is 124 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1204,6277

LCM of Fractions 1204/496,6277/868 is 7557508/124

Given numbers has no common factors except 1. So, there LCM is their product i.e 7557508

Least Common Multiple of 1204,6277 with GCF Formula

Least Common Multiple of 1204,6277 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 1204,6277 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1204,6277) = 1

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

GCF(1204,6277) x common factors =1 x 1 = 1

LCM(1204,6277) = ( 1204 × 6277 ) / 1

LCM(1204,6277) = 7557508 / 1

LCM(1204,6277) = 7557508


Lets's calculate GCF of 496,868

2 496, 868
2 248, 434
31 124, 217
4, 7

∴ So the GCF of the given numbers is 2 x 2 x 31 = 124

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7557508/124

Therefore the LCM of Fractions 1204/496,6277/868 is 7557508/124

Greatest Common Factor of 496,868 By Matching Biggest Common Factor Method

Greatest Common Factor of 496,868 By Matching Biggest Common Factor Method

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

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

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Greatest Common Factor

We found the factors 496,868 . The biggest common factor number is the GCF number.
So the greatest common factor 496,868 is 124.


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 1204/496, 6277/868

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 1204/496, 6277/868?

Answer: LCM of Numerators as per given numbers 1204/496, 6277/868 is

LCM of Numerators i.e. for 1204,6277 is 7557508

GCF of denominators i.e. for 496,868 is 124.

Thus, LCM of Fractions is 7557508/124.Finally, LCM of Fractions for 1204/496, 6277/868 is 7557508/124.