Least Common Multiple of 19/249, 429/114, 365/350

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/249, 429/114, 365/350 quickly i.e. 2975115 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/249, 429/114, 365/350 is 2975115.

LCM(19/249, 429/114, 365/350) = 2975115

LCM of 19/249, 429/114, 365/350

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 19/249,429/114,365/350

Given numbers are 19/249,429/114,365/350

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 19,429,365

Least Common Multiple of Numerators i.e. LCM of 19,429,365 is 2975115.

GCF of Denominators means GCF of 249,114,350 as per the given fractions.

GCF of 249,114,350 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,429,365

LCM of Fractions 19/249,429/114,365/350 is 2975115

Given numbers has no common factors except 1. So, there LCM is their product i.e 2975115

Least Common Multiple of 19,429,365 with GCF Formula

Least Common Multiple of 19,429,365 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 19,429,365 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,429,365) = 1

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

GCF(19,429,365) x common factors =1 x 1 = 1

LCM(19,429,365) = ( 19 × 429 × 365 ) / 1

LCM(19,429,365) = 2975115 / 1

LCM(19,429,365) = 2975115


Lets's calculate GCF of 249,114,350

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2975115/1

Therefore the LCM of Fractions 19/249,429/114,365/350 is 2975115

Greatest Common Factor of 249,114,350 By Matching Biggest Common Factor Method

Greatest Common Factor of 249,114,350 By Matching Biggest Common Factor Method

Factors of 249

List of positive integer factors of 249 that divides 249 without a remainder.

1,3,83,249

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 350

List of positive integer factors of 350 that divides 350 without a remainder.

1,2,5,7,10,14,25,35,50,70,175,350

Greatest Common Factor

We found the factors 249,114,350 . The biggest common factor number is the GCF number.
So the greatest common factor 249,114,350 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 19/249, 429/114, 365/350

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 19/249, 429/114, 365/350?

Answer: LCM of Numerators as per given numbers 19/249, 429/114, 365/350 is

LCM of Numerators i.e. for 19,429,365 is 2975115

GCF of denominators i.e. for 249,114,350 is 1.

Thus, LCM of Fractions is 2975115.Finally, LCM of Fractions for 19/249, 429/114, 365/350 is 2975115.