Least Common Multiple of 77/114, 204/498, 608/549

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/114, 204/498, 608/549 quickly i.e. 795872 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/114, 204/498, 608/549 is 795872.

LCM(77/114, 204/498, 608/549) = 795872

LCM of 77/114, 204/498, 608/549

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 77/114,204/498,608/549

Given numbers are 77/114,204/498,608/549

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 77,204,608

Least Common Multiple of Numerators i.e. LCM of 77,204,608 is 2387616.

GCF of Denominators means GCF of 114,498,549 as per the given fractions.

GCF of 114,498,549 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,204,608

LCM of Fractions 77/114,204/498,608/549 is 795872

2 77, 204, 608
2 77, 102, 304
77, 51, 152

∴ So the LCM of the given numbers is 2 x 2 x 77 x 51 x 152 = 2387616

Least Common Multiple of 77,204,608 with GCF Formula

Least Common Multiple of 77,204,608 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 77,204,608 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,204,608) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(77,204,608) x common factors =1 x 4 = 4

LCM(77,204,608) = ( 77 × 204 × 608 ) / 4

LCM(77,204,608) = 9550464 / 4

LCM(77,204,608) = 2387616


Lets's calculate GCF of 114,498,549

3 114, 498, 549
38, 166, 183

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2387616/3

Therefore the LCM of Fractions 77/114,204/498,608/549 is 795872

Greatest Common Factor of 114,498,549 By Matching Biggest Common Factor Method

Greatest Common Factor of 114,498,549 By Matching Biggest Common Factor Method

Factors of 114

List of positive integer factors of 114 that divides 114 without a remainder.

1,2,3,6,19,38,57,114

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Factors of 549

List of positive integer factors of 549 that divides 549 without a remainder.

1,3,9,61,183,549

Greatest Common Factor

We found the factors 114,498,549 . The biggest common factor number is the GCF number.
So the greatest common factor 114,498,549 is 3.


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 77/114, 204/498, 608/549

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 77/114, 204/498, 608/549?

Answer: LCM of Numerators as per given numbers 77/114, 204/498, 608/549 is

LCM of Numerators i.e. for 77,204,608 is 2387616

GCF of denominators i.e. for 114,498,549 is 3.

Thus, LCM of Fractions is 795872.Finally, LCM of Fractions for 77/114, 204/498, 608/549 is 795872.