Least Common Multiple of 402/70, 419/45, 465/854

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 402/70, 419/45, 465/854 quickly i.e. 26107890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 402/70, 419/45, 465/854 is 26107890.

LCM(402/70, 419/45, 465/854) = 26107890

LCM of 402/70, 419/45, 465/854

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 402/70,419/45,465/854

Given numbers are 402/70,419/45,465/854

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 402,419,465

Least Common Multiple of Numerators i.e. LCM of 402,419,465 is 26107890.

GCF of Denominators means GCF of 70,45,854 as per the given fractions.

GCF of 70,45,854 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 402,419,465

LCM of Fractions 402/70,419/45,465/854 is 26107890

3 402, 419, 465
134, 419, 155

∴ So the LCM of the given numbers is 3 x 134 x 419 x 155 = 26107890

Least Common Multiple of 402,419,465 with GCF Formula

Least Common Multiple of 402,419,465 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 402,419,465 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(402,419,465) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(402,419,465) x common factors =1 x 3 = 3

LCM(402,419,465) = ( 402 × 419 × 465 ) / 3

LCM(402,419,465) = 78323670 / 3

LCM(402,419,465) = 26107890


Lets's calculate GCF of 70,45,854

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26107890/1

Therefore the LCM of Fractions 402/70,419/45,465/854 is 26107890

Greatest Common Factor of 70,45,854 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,45,854 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 854

List of positive integer factors of 854 that divides 854 without a remainder.

1,2,7,14,61,122,427,854

Greatest Common Factor

We found the factors 70,45,854 . The biggest common factor number is the GCF number.
So the greatest common factor 70,45,854 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 402/70, 419/45, 465/854

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 402/70, 419/45, 465/854?

Answer: LCM of Numerators as per given numbers 402/70, 419/45, 465/854 is

LCM of Numerators i.e. for 402,419,465 is 26107890

GCF of denominators i.e. for 70,45,854 is 1.

Thus, LCM of Fractions is 26107890.Finally, LCM of Fractions for 402/70, 419/45, 465/854 is 26107890.