Least Common Multiple of 3692/621, 6136/856

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3692/621, 6136/856 quickly i.e. 435656 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3692/621, 6136/856 is 435656.

LCM(3692/621, 6136/856) = 435656

LCM of 3692/621, 6136/856

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 3692/621,6136/856

Given numbers are 3692/621,6136/856

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 3692,6136

Least Common Multiple of Numerators i.e. LCM of 3692,6136 is 435656.

GCF of Denominators means GCF of 621,856 as per the given fractions.

GCF of 621,856 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3692,6136

LCM of Fractions 3692/621,6136/856 is 435656

2 3692, 6136
2 1846, 3068
13 923, 1534
71, 118

∴ So the LCM of the given numbers is 2 x 2 x 13 x 71 x 118 = 435656

Least Common Multiple of 3692,6136 with GCF Formula

Least Common Multiple of 3692,6136 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 3692,6136 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3692,6136) = 52

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

GCF(3692,6136) x common factors =52 x 1 = 52

LCM(3692,6136) = ( 3692 × 6136 ) / 52

LCM(3692,6136) = 22654112 / 52

LCM(3692,6136) = 435656


Lets's calculate GCF of 621,856

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 435656/1

Therefore the LCM of Fractions 3692/621,6136/856 is 435656

Greatest Common Factor of 621,856 By Matching Biggest Common Factor Method

Greatest Common Factor of 621,856 By Matching Biggest Common Factor Method

Factors of 621

List of positive integer factors of 621 that divides 621 without a remainder.

1,3,9,23,27,69,207,621

Factors of 856

List of positive integer factors of 856 that divides 856 without a remainder.

1,2,4,8,107,214,428,856

Greatest Common Factor

We found the factors 621,856 . The biggest common factor number is the GCF number.
So the greatest common factor 621,856 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3692/621, 6136/856

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 3692/621, 6136/856?

Answer: LCM of Numerators as per given numbers 3692/621, 6136/856 is

LCM of Numerators i.e. for 3692,6136 is 435656

GCF of denominators i.e. for 621,856 is 1.

Thus, LCM of Fractions is 435656.Finally, LCM of Fractions for 3692/621, 6136/856 is 435656.