Least Common Multiple of 826/132, 3454/859

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 826/132, 3454/859 quickly i.e. 1426502 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 826/132, 3454/859 is 1426502.

LCM(826/132, 3454/859) = 1426502

LCM of 826/132, 3454/859

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 826/132,3454/859

Given numbers are 826/132,3454/859

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 826,3454

Least Common Multiple of Numerators i.e. LCM of 826,3454 is 1426502.

GCF of Denominators means GCF of 132,859 as per the given fractions.

GCF of 132,859 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 826,3454

LCM of Fractions 826/132,3454/859 is 1426502

2 826, 3454
413, 1727

∴ So the LCM of the given numbers is 2 x 413 x 1727 = 1426502

Least Common Multiple of 826,3454 with GCF Formula

Least Common Multiple of 826,3454 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 826,3454 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(826,3454) = 2

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

GCF(826,3454) x common factors =2 x 1 = 2

LCM(826,3454) = ( 826 × 3454 ) / 2

LCM(826,3454) = 2853004 / 2

LCM(826,3454) = 1426502


Lets's calculate GCF of 132,859

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1426502/1

Therefore the LCM of Fractions 826/132,3454/859 is 1426502

Greatest Common Factor of 132,859 By Matching Biggest Common Factor Method

Greatest Common Factor of 132,859 By Matching Biggest Common Factor Method

Factors of 132

List of positive integer factors of 132 that divides 132 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,132

Factors of 859

List of positive integer factors of 859 that divides 859 without a remainder.

1,859

Greatest Common Factor

We found the factors 132,859 . The biggest common factor number is the GCF number.
So the greatest common factor 132,859 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 826/132, 3454/859

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 826/132, 3454/859?

Answer: LCM of Numerators as per given numbers 826/132, 3454/859 is

LCM of Numerators i.e. for 826,3454 is 1426502

GCF of denominators i.e. for 132,859 is 1.

Thus, LCM of Fractions is 1426502.Finally, LCM of Fractions for 826/132, 3454/859 is 1426502.