Least Common Multiple of 1/14, 34/362, 71/970

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1/14, 34/362, 71/970 quickly i.e. 1207 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1/14, 34/362, 71/970 is 1207.

LCM(1/14, 34/362, 71/970) = 1207

LCM of 1/14, 34/362, 71/970

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 1/14,34/362,71/970

Given numbers are 1/14,34/362,71/970

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 1,34,71

Least Common Multiple of Numerators i.e. LCM of 1,34,71 is 2414.

GCF of Denominators means GCF of 14,362,970 as per the given fractions.

GCF of 14,362,970 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1,34,71

LCM of Fractions 1/14,34/362,71/970 is 1207

Given numbers has no common factors except 1. So, there LCM is their product i.e 2414

Least Common Multiple of 1,34,71 with GCF Formula

Least Common Multiple of 1,34,71 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 1,34,71 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1,34,71) = 1

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

GCF(1,34,71) x common factors =1 x 1 = 1

LCM(1,34,71) = ( 1 × 34 × 71 ) / 1

LCM(1,34,71) = 2414 / 1

LCM(1,34,71) = 2414


Lets's calculate GCF of 14,362,970

2 14, 362, 970
7, 181, 485

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2414/2

Therefore the LCM of Fractions 1/14,34/362,71/970 is 1207

Greatest Common Factor of 14,362,970 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,362,970 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 362

List of positive integer factors of 362 that divides 362 without a remainder.

1,2,181,362

Factors of 970

List of positive integer factors of 970 that divides 970 without a remainder.

1,2,5,10,97,194,485,970

Greatest Common Factor

We found the factors 14,362,970 . The biggest common factor number is the GCF number.
So the greatest common factor 14,362,970 is 2.


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 1/14, 34/362, 71/970

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 1/14, 34/362, 71/970?

Answer: LCM of Numerators as per given numbers 1/14, 34/362, 71/970 is

LCM of Numerators i.e. for 1,34,71 is 2414

GCF of denominators i.e. for 14,362,970 is 2.

Thus, LCM of Fractions is 1207.Finally, LCM of Fractions for 1/14, 34/362, 71/970 is 1207.