Least Common Multiple of 826/696, 407/546

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 826/696, 407/546 quickly i.e. 336182/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 826/696, 407/546 is 336182/6.

LCM(826/696, 407/546) = 336182/6

LCM of 826/696, 407/546

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 826/696,407/546

Given numbers are 826/696,407/546

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 826,407

Least Common Multiple of Numerators i.e. LCM of 826,407 is 336182.

GCF of Denominators means GCF of 696,546 as per the given fractions.

GCF of 696,546 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 826,407

LCM of Fractions 826/696,407/546 is 336182/6

Given numbers has no common factors except 1. So, there LCM is their product i.e 336182

Least Common Multiple of 826,407 with GCF Formula

Least Common Multiple of 826,407 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 826,407 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(826,407) = 1

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

GCF(826,407) x common factors =1 x 1 = 1

LCM(826,407) = ( 826 × 407 ) / 1

LCM(826,407) = 336182 / 1

LCM(826,407) = 336182


Lets's calculate GCF of 696,546

2 696, 546
3 348, 273
116, 91

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 336182/6

Therefore the LCM of Fractions 826/696,407/546 is 336182/6

Greatest Common Factor of 696,546 By Matching Biggest Common Factor Method

Greatest Common Factor of 696,546 By Matching Biggest Common Factor Method

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Greatest Common Factor

We found the factors 696,546 . The biggest common factor number is the GCF number.
So the greatest common factor 696,546 is 6.


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 826/696, 407/546

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 826/696, 407/546?

Answer: LCM of Numerators as per given numbers 826/696, 407/546 is

LCM of Numerators i.e. for 826,407 is 336182

GCF of denominators i.e. for 696,546 is 6.

Thus, LCM of Fractions is 336182/6.Finally, LCM of Fractions for 826/696, 407/546 is 336182/6.