Least Common Multiple of 288/174, 549/225, 178/776

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 288/174, 549/225, 178/776 quickly i.e. 1563552 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 288/174, 549/225, 178/776 is 1563552.

LCM(288/174, 549/225, 178/776) = 1563552

LCM of 288/174, 549/225, 178/776

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 288/174,549/225,178/776

Given numbers are 288/174,549/225,178/776

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 288,549,178

Least Common Multiple of Numerators i.e. LCM of 288,549,178 is 1563552.

GCF of Denominators means GCF of 174,225,776 as per the given fractions.

GCF of 174,225,776 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 288,549,178

LCM of Fractions 288/174,549/225,178/776 is 1563552

2 288, 549, 178
3 144, 549, 89
3 48, 183, 89
16, 61, 89

∴ So the LCM of the given numbers is 2 x 3 x 3 x 16 x 61 x 89 = 1563552

Least Common Multiple of 288,549,178 with GCF Formula

Least Common Multiple of 288,549,178 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 288,549,178 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(288,549,178) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(288,549,178) x common factors =1 x 18 = 18

LCM(288,549,178) = ( 288 × 549 × 178 ) / 18

LCM(288,549,178) = 28143936 / 18

LCM(288,549,178) = 1563552


Lets's calculate GCF of 174,225,776

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1563552/1

Therefore the LCM of Fractions 288/174,549/225,178/776 is 1563552

Greatest Common Factor of 174,225,776 By Matching Biggest Common Factor Method

Greatest Common Factor of 174,225,776 By Matching Biggest Common Factor Method

Factors of 174

List of positive integer factors of 174 that divides 174 without a remainder.

1,2,3,6,29,58,87,174

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

Factors of 776

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

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

Greatest Common Factor

We found the factors 174,225,776 . The biggest common factor number is the GCF number.
So the greatest common factor 174,225,776 is 1.


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 288/174, 549/225, 178/776

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 288/174, 549/225, 178/776?

Answer: LCM of Numerators as per given numbers 288/174, 549/225, 178/776 is

LCM of Numerators i.e. for 288,549,178 is 1563552

GCF of denominators i.e. for 174,225,776 is 1.

Thus, LCM of Fractions is 1563552.Finally, LCM of Fractions for 288/174, 549/225, 178/776 is 1563552.