Least Common Multiple of 287/14, 962/57, 296/986

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 287/14, 962/57, 296/986 quickly i.e. 1104376 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 287/14, 962/57, 296/986 is 1104376.

LCM(287/14, 962/57, 296/986) = 1104376

LCM of 287/14, 962/57, 296/986

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 287/14,962/57,296/986

Given numbers are 287/14,962/57,296/986

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 287,962,296

Least Common Multiple of Numerators i.e. LCM of 287,962,296 is 1104376.

GCF of Denominators means GCF of 14,57,986 as per the given fractions.

GCF of 14,57,986 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 287,962,296

LCM of Fractions 287/14,962/57,296/986 is 1104376

2 287, 962, 296
37 287, 481, 148
287, 13, 4

∴ So the LCM of the given numbers is 2 x 37 x 287 x 13 x 4 = 1104376

Least Common Multiple of 287,962,296 with GCF Formula

Least Common Multiple of 287,962,296 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 287,962,296 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(287,962,296) = 1

common factors(in case of two or more numbers have common factors) = 74

GCF(287,962,296) x common factors =1 x 74 = 74

LCM(287,962,296) = ( 287 × 962 × 296 ) / 74

LCM(287,962,296) = 81723824 / 74

LCM(287,962,296) = 1104376


Lets's calculate GCF of 14,57,986

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1104376/1

Therefore the LCM of Fractions 287/14,962/57,296/986 is 1104376

Greatest Common Factor of 14,57,986 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,57,986 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 986

List of positive integer factors of 986 that divides 986 without a remainder.

1,2,17,29,34,58,493,986

Greatest Common Factor

We found the factors 14,57,986 . The biggest common factor number is the GCF number.
So the greatest common factor 14,57,986 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 287/14, 962/57, 296/986

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 287/14, 962/57, 296/986?

Answer: LCM of Numerators as per given numbers 287/14, 962/57, 296/986 is

LCM of Numerators i.e. for 287,962,296 is 1104376

GCF of denominators i.e. for 14,57,986 is 1.

Thus, LCM of Fractions is 1104376.Finally, LCM of Fractions for 287/14, 962/57, 296/986 is 1104376.