Least Common Multiple of 6892/526, 3852/891

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6892/526, 3852/891 quickly i.e. 6636996 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6892/526, 3852/891 is 6636996.

LCM(6892/526, 3852/891) = 6636996

LCM of 6892/526, 3852/891

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 6892/526,3852/891

Given numbers are 6892/526,3852/891

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 6892,3852

Least Common Multiple of Numerators i.e. LCM of 6892,3852 is 6636996.

GCF of Denominators means GCF of 526,891 as per the given fractions.

GCF of 526,891 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6892,3852

LCM of Fractions 6892/526,3852/891 is 6636996

2 6892, 3852
2 3446, 1926
1723, 963

∴ So the LCM of the given numbers is 2 x 2 x 1723 x 963 = 6636996

Least Common Multiple of 6892,3852 with GCF Formula

Least Common Multiple of 6892,3852 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 6892,3852 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6892,3852) = 4

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

GCF(6892,3852) x common factors =4 x 1 = 4

LCM(6892,3852) = ( 6892 × 3852 ) / 4

LCM(6892,3852) = 26547984 / 4

LCM(6892,3852) = 6636996


Lets's calculate GCF of 526,891

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6636996/1

Therefore the LCM of Fractions 6892/526,3852/891 is 6636996

Greatest Common Factor of 526,891 By Matching Biggest Common Factor Method

Greatest Common Factor of 526,891 By Matching Biggest Common Factor Method

Factors of 526

List of positive integer factors of 526 that divides 526 without a remainder.

1,2,263,526

Factors of 891

List of positive integer factors of 891 that divides 891 without a remainder.

1,3,9,11,27,33,81,99,297,891

Greatest Common Factor

We found the factors 526,891 . The biggest common factor number is the GCF number.
So the greatest common factor 526,891 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 6892/526, 3852/891

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 6892/526, 3852/891?

Answer: LCM of Numerators as per given numbers 6892/526, 3852/891 is

LCM of Numerators i.e. for 6892,3852 is 6636996

GCF of denominators i.e. for 526,891 is 1.

Thus, LCM of Fractions is 6636996.Finally, LCM of Fractions for 6892/526, 3852/891 is 6636996.