Least Common Multiple of 77/201, 14/719, 125/112

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/201, 14/719, 125/112 quickly i.e. 19250 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/201, 14/719, 125/112 is 19250.

LCM(77/201, 14/719, 125/112) = 19250

LCM of 77/201, 14/719, 125/112

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 77/201,14/719,125/112

Given numbers are 77/201,14/719,125/112

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 77,14,125

Least Common Multiple of Numerators i.e. LCM of 77,14,125 is 19250.

GCF of Denominators means GCF of 201,719,112 as per the given fractions.

GCF of 201,719,112 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,14,125

LCM of Fractions 77/201,14/719,125/112 is 19250

7 77, 14, 125
11, 2, 125

∴ So the LCM of the given numbers is 7 x 11 x 2 x 125 = 19250

Least Common Multiple of 77,14,125 with GCF Formula

Least Common Multiple of 77,14,125 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 77,14,125 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,14,125) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(77,14,125) x common factors =1 x 7 = 7

LCM(77,14,125) = ( 77 × 14 × 125 ) / 7

LCM(77,14,125) = 134750 / 7

LCM(77,14,125) = 19250


Lets's calculate GCF of 201,719,112

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19250/1

Therefore the LCM of Fractions 77/201,14/719,125/112 is 19250

Greatest Common Factor of 201,719,112 By Matching Biggest Common Factor Method

Greatest Common Factor of 201,719,112 By Matching Biggest Common Factor Method

Factors of 201

List of positive integer factors of 201 that divides 201 without a remainder.

1,3,67,201

Factors of 719

List of positive integer factors of 719 that divides 719 without a remainder.

1,719

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

Greatest Common Factor

We found the factors 201,719,112 . The biggest common factor number is the GCF number.
So the greatest common factor 201,719,112 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 77/201, 14/719, 125/112

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 77/201, 14/719, 125/112?

Answer: LCM of Numerators as per given numbers 77/201, 14/719, 125/112 is

LCM of Numerators i.e. for 77,14,125 is 19250

GCF of denominators i.e. for 201,719,112 is 1.

Thus, LCM of Fractions is 19250.Finally, LCM of Fractions for 77/201, 14/719, 125/112 is 19250.