Least Common Multiple of 6126/954, 3412/465

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6126/954, 3412/465 quickly i.e. 3483652 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6126/954, 3412/465 is 3483652.

LCM(6126/954, 3412/465) = 3483652

LCM of 6126/954, 3412/465

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 6126/954,3412/465

Given numbers are 6126/954,3412/465

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 6126,3412

Least Common Multiple of Numerators i.e. LCM of 6126,3412 is 10450956.

GCF of Denominators means GCF of 954,465 as per the given fractions.

GCF of 954,465 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6126,3412

LCM of Fractions 6126/954,3412/465 is 3483652

2 6126, 3412
3063, 1706

∴ So the LCM of the given numbers is 2 x 3063 x 1706 = 10450956

Least Common Multiple of 6126,3412 with GCF Formula

Least Common Multiple of 6126,3412 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 6126,3412 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6126,3412) = 2

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

GCF(6126,3412) x common factors =2 x 1 = 2

LCM(6126,3412) = ( 6126 × 3412 ) / 2

LCM(6126,3412) = 20901912 / 2

LCM(6126,3412) = 10450956


Lets's calculate GCF of 954,465

3 954, 465
318, 155

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10450956/3

Therefore the LCM of Fractions 6126/954,3412/465 is 3483652

Greatest Common Factor of 954,465 By Matching Biggest Common Factor Method

Greatest Common Factor of 954,465 By Matching Biggest Common Factor Method

Factors of 954

List of positive integer factors of 954 that divides 954 without a remainder.

1,2,3,6,9,18,53,106,159,318,477,954

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Greatest Common Factor

We found the factors 954,465 . The biggest common factor number is the GCF number.
So the greatest common factor 954,465 is 3.


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 6126/954, 3412/465

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 6126/954, 3412/465?

Answer: LCM of Numerators as per given numbers 6126/954, 3412/465 is

LCM of Numerators i.e. for 6126,3412 is 10450956

GCF of denominators i.e. for 954,465 is 3.

Thus, LCM of Fractions is 3483652.Finally, LCM of Fractions for 6126/954, 3412/465 is 3483652.