Least Common Multiple of 78/112, 239/953, 289/355

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/112, 239/953, 289/355 quickly i.e. 5387538 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/112, 239/953, 289/355 is 5387538.

LCM(78/112, 239/953, 289/355) = 5387538

LCM of 78/112, 239/953, 289/355

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 78/112,239/953,289/355

Given numbers are 78/112,239/953,289/355

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 78,239,289

Least Common Multiple of Numerators i.e. LCM of 78,239,289 is 5387538.

GCF of Denominators means GCF of 112,953,355 as per the given fractions.

GCF of 112,953,355 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,239,289

LCM of Fractions 78/112,239/953,289/355 is 5387538

Given numbers has no common factors except 1. So, there LCM is their product i.e 5387538

Least Common Multiple of 78,239,289 with GCF Formula

Least Common Multiple of 78,239,289 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 78,239,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,239,289) = 1

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

GCF(78,239,289) x common factors =1 x 1 = 1

LCM(78,239,289) = ( 78 × 239 × 289 ) / 1

LCM(78,239,289) = 5387538 / 1

LCM(78,239,289) = 5387538


Lets's calculate GCF of 112,953,355

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5387538/1

Therefore the LCM of Fractions 78/112,239/953,289/355 is 5387538

Greatest Common Factor of 112,953,355 By Matching Biggest Common Factor Method

Greatest Common Factor of 112,953,355 By Matching Biggest Common Factor Method

Factors of 112

List of positive integer factors of 112 that divides 112 without a remainder.

1,2,4,7,8,14,16,28,56,112

Factors of 953

List of positive integer factors of 953 that divides 953 without a remainder.

1,953

Factors of 355

List of positive integer factors of 355 that divides 355 without a remainder.

1,5,71,355

Greatest Common Factor

We found the factors 112,953,355 . The biggest common factor number is the GCF number.
So the greatest common factor 112,953,355 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 78/112, 239/953, 289/355

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 78/112, 239/953, 289/355?

Answer: LCM of Numerators as per given numbers 78/112, 239/953, 289/355 is

LCM of Numerators i.e. for 78,239,289 is 5387538

GCF of denominators i.e. for 112,953,355 is 1.

Thus, LCM of Fractions is 5387538.Finally, LCM of Fractions for 78/112, 239/953, 289/355 is 5387538.