Least Common Multiple of 77/28, 204/88, 714/498

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/28, 204/88, 714/498 quickly i.e. 7854 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/28, 204/88, 714/498 is 7854.

LCM(77/28, 204/88, 714/498) = 7854

LCM of 77/28, 204/88, 714/498

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 77/28,204/88,714/498

Given numbers are 77/28,204/88,714/498

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 77,204,714

Least Common Multiple of Numerators i.e. LCM of 77,204,714 is 15708.

GCF of Denominators means GCF of 28,88,498 as per the given fractions.

GCF of 28,88,498 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,204,714

LCM of Fractions 77/28,204/88,714/498 is 7854

2 77, 204, 714
3 77, 102, 357
7 77, 34, 119
17 11, 34, 17
11, 2, 1

∴ So the LCM of the given numbers is 2 x 3 x 7 x 17 x 11 x 2 x 1 = 15708

Least Common Multiple of 77,204,714 with GCF Formula

Least Common Multiple of 77,204,714 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 77,204,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,204,714) = 1

common factors(in case of two or more numbers have common factors) = 714

GCF(77,204,714) x common factors =1 x 714 = 714

LCM(77,204,714) = ( 77 × 204 × 714 ) / 714

LCM(77,204,714) = 11215512 / 714

LCM(77,204,714) = 15708


Lets's calculate GCF of 28,88,498

2 28, 88, 498
14, 44, 249

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15708/2

Therefore the LCM of Fractions 77/28,204/88,714/498 is 7854

Greatest Common Factor of 28,88,498 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,88,498 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 498

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

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

Greatest Common Factor

We found the factors 28,88,498 . The biggest common factor number is the GCF number.
So the greatest common factor 28,88,498 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 77/28, 204/88, 714/498

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 77/28, 204/88, 714/498?

Answer: LCM of Numerators as per given numbers 77/28, 204/88, 714/498 is

LCM of Numerators i.e. for 77,204,714 is 15708

GCF of denominators i.e. for 28,88,498 is 2.

Thus, LCM of Fractions is 7854.Finally, LCM of Fractions for 77/28, 204/88, 714/498 is 7854.