Least Common Multiple of 34/13, 872/12, 946/351

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/13, 872/12, 946/351 quickly i.e. 7011752 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/13, 872/12, 946/351 is 7011752.

LCM(34/13, 872/12, 946/351) = 7011752

LCM of 34/13, 872/12, 946/351

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 34/13,872/12,946/351

Given numbers are 34/13,872/12,946/351

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 34,872,946

Least Common Multiple of Numerators i.e. LCM of 34,872,946 is 7011752.

GCF of Denominators means GCF of 13,12,351 as per the given fractions.

GCF of 13,12,351 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,872,946

LCM of Fractions 34/13,872/12,946/351 is 7011752

2 34, 872, 946
17, 436, 473

∴ So the LCM of the given numbers is 2 x 17 x 436 x 473 = 7011752

Least Common Multiple of 34,872,946 with GCF Formula

Least Common Multiple of 34,872,946 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 34,872,946 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,872,946) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(34,872,946) x common factors =2 x 2 = 4

LCM(34,872,946) = ( 34 × 872 × 946 ) / 4

LCM(34,872,946) = 28047008 / 4

LCM(34,872,946) = 7011752


Lets's calculate GCF of 13,12,351

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7011752/1

Therefore the LCM of Fractions 34/13,872/12,946/351 is 7011752

Greatest Common Factor of 13,12,351 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,12,351 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1,3,9,13,27,39,117,351

Greatest Common Factor

We found the factors 13,12,351 . The biggest common factor number is the GCF number.
So the greatest common factor 13,12,351 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 34/13, 872/12, 946/351

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 34/13, 872/12, 946/351?

Answer: LCM of Numerators as per given numbers 34/13, 872/12, 946/351 is

LCM of Numerators i.e. for 34,872,946 is 7011752

GCF of denominators i.e. for 13,12,351 is 1.

Thus, LCM of Fractions is 7011752.Finally, LCM of Fractions for 34/13, 872/12, 946/351 is 7011752.