Least Common Multiple of 3780/692, 3825/1021

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3780/692, 3825/1021 quickly i.e. 321300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3780/692, 3825/1021 is 321300.

LCM(3780/692, 3825/1021) = 321300

LCM of 3780/692, 3825/1021

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 3780/692,3825/1021

Given numbers are 3780/692,3825/1021

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 3780,3825

Least Common Multiple of Numerators i.e. LCM of 3780,3825 is 321300.

GCF of Denominators means GCF of 692,1021 as per the given fractions.

GCF of 692,1021 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3780,3825

LCM of Fractions 3780/692,3825/1021 is 321300

3 3780, 3825
3 1260, 1275
5 420, 425
84, 85

∴ So the LCM of the given numbers is 3 x 3 x 5 x 84 x 85 = 321300

Least Common Multiple of 3780,3825 with GCF Formula

Least Common Multiple of 3780,3825 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 3780,3825 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3780,3825) = 45

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

GCF(3780,3825) x common factors =45 x 1 = 45

LCM(3780,3825) = ( 3780 × 3825 ) / 45

LCM(3780,3825) = 14458500 / 45

LCM(3780,3825) = 321300


Lets's calculate GCF of 692,1021

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 321300/1

Therefore the LCM of Fractions 3780/692,3825/1021 is 321300

Greatest Common Factor of 692,1021 By Matching Biggest Common Factor Method

Greatest Common Factor of 692,1021 By Matching Biggest Common Factor Method

Factors of 692

List of positive integer factors of 692 that divides 692 without a remainder.

1,2,4,173,346,692

Factors of 1021

List of positive integer factors of 1021 that divides 1021 without a remainder.

1,1021

Greatest Common Factor

We found the factors 692,1021 . The biggest common factor number is the GCF number.
So the greatest common factor 692,1021 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 3780/692, 3825/1021

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 3780/692, 3825/1021?

Answer: LCM of Numerators as per given numbers 3780/692, 3825/1021 is

LCM of Numerators i.e. for 3780,3825 is 321300

GCF of denominators i.e. for 692,1021 is 1.

Thus, LCM of Fractions is 321300.Finally, LCM of Fractions for 3780/692, 3825/1021 is 321300.