Least Common Multiple of 7/869, 31/537, 14/704

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7/869, 31/537, 14/704 quickly i.e. 434 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7/869, 31/537, 14/704 is 434.

LCM(7/869, 31/537, 14/704) = 434

LCM of 7/869, 31/537, 14/704

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 7/869,31/537,14/704

Given numbers are 7/869,31/537,14/704

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 7,31,14

Least Common Multiple of Numerators i.e. LCM of 7,31,14 is 434.

GCF of Denominators means GCF of 869,537,704 as per the given fractions.

GCF of 869,537,704 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7,31,14

LCM of Fractions 7/869,31/537,14/704 is 434

7 7, 31, 14
1, 31, 2

∴ So the LCM of the given numbers is 7 x 1 x 31 x 2 = 434

Least Common Multiple of 7,31,14 with GCF Formula

Least Common Multiple of 7,31,14 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 7,31,14 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7,31,14) = 1

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

GCF(7,31,14) x common factors =1 x 7 = 7

LCM(7,31,14) = ( 7 × 31 × 14 ) / 7

LCM(7,31,14) = 3038 / 7

LCM(7,31,14) = 434


Lets's calculate GCF of 869,537,704

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 434/1

Therefore the LCM of Fractions 7/869,31/537,14/704 is 434

Greatest Common Factor of 869,537,704 By Matching Biggest Common Factor Method

Greatest Common Factor of 869,537,704 By Matching Biggest Common Factor Method

Factors of 869

List of positive integer factors of 869 that divides 869 without a remainder.

1,11,79,869

Factors of 537

List of positive integer factors of 537 that divides 537 without a remainder.

1,3,179,537

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Greatest Common Factor

We found the factors 869,537,704 . The biggest common factor number is the GCF number.
So the greatest common factor 869,537,704 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 7/869, 31/537, 14/704

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 7/869, 31/537, 14/704?

Answer: LCM of Numerators as per given numbers 7/869, 31/537, 14/704 is

LCM of Numerators i.e. for 7,31,14 is 434

GCF of denominators i.e. for 869,537,704 is 1.

Thus, LCM of Fractions is 434.Finally, LCM of Fractions for 7/869, 31/537, 14/704 is 434.