Least Common Multiple of 49/287, 862/746, 367/453

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/287, 862/746, 367/453 quickly i.e. 15501346 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/287, 862/746, 367/453 is 15501346.

LCM(49/287, 862/746, 367/453) = 15501346

LCM of 49/287, 862/746, 367/453

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 49/287,862/746,367/453

Given numbers are 49/287,862/746,367/453

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 49,862,367

Least Common Multiple of Numerators i.e. LCM of 49,862,367 is 15501346.

GCF of Denominators means GCF of 287,746,453 as per the given fractions.

GCF of 287,746,453 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,862,367

LCM of Fractions 49/287,862/746,367/453 is 15501346

Given numbers has no common factors except 1. So, there LCM is their product i.e 15501346

Least Common Multiple of 49,862,367 with GCF Formula

Least Common Multiple of 49,862,367 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 49,862,367 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,862,367) = 1

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

GCF(49,862,367) x common factors =1 x 1 = 1

LCM(49,862,367) = ( 49 × 862 × 367 ) / 1

LCM(49,862,367) = 15501346 / 1

LCM(49,862,367) = 15501346


Lets's calculate GCF of 287,746,453

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15501346/1

Therefore the LCM of Fractions 49/287,862/746,367/453 is 15501346

Greatest Common Factor of 287,746,453 By Matching Biggest Common Factor Method

Greatest Common Factor of 287,746,453 By Matching Biggest Common Factor Method

Factors of 287

List of positive integer factors of 287 that divides 287 without a remainder.

1,7,41,287

Factors of 746

List of positive integer factors of 746 that divides 746 without a remainder.

1,2,373,746

Factors of 453

List of positive integer factors of 453 that divides 453 without a remainder.

1,3,151,453

Greatest Common Factor

We found the factors 287,746,453 . The biggest common factor number is the GCF number.
So the greatest common factor 287,746,453 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 49/287, 862/746, 367/453

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 49/287, 862/746, 367/453?

Answer: LCM of Numerators as per given numbers 49/287, 862/746, 367/453 is

LCM of Numerators i.e. for 49,862,367 is 15501346

GCF of denominators i.e. for 287,746,453 is 1.

Thus, LCM of Fractions is 15501346.Finally, LCM of Fractions for 49/287, 862/746, 367/453 is 15501346.