Least Common Multiple of 3764/758, 7290/7050

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3764/758, 7290/7050 quickly i.e. 6859890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3764/758, 7290/7050 is 6859890.

LCM(3764/758, 7290/7050) = 6859890

LCM of 3764/758, 7290/7050

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 3764/758,7290/7050

Given numbers are 3764/758,7290/7050

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 3764,7290

Least Common Multiple of Numerators i.e. LCM of 3764,7290 is 13719780.

GCF of Denominators means GCF of 758,7050 as per the given fractions.

GCF of 758,7050 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3764,7290

LCM of Fractions 3764/758,7290/7050 is 6859890

2 3764, 7290
1882, 3645

∴ So the LCM of the given numbers is 2 x 1882 x 3645 = 13719780

Least Common Multiple of 3764,7290 with GCF Formula

Least Common Multiple of 3764,7290 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 3764,7290 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3764,7290) = 2

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

GCF(3764,7290) x common factors =2 x 1 = 2

LCM(3764,7290) = ( 3764 × 7290 ) / 2

LCM(3764,7290) = 27439560 / 2

LCM(3764,7290) = 13719780


Lets's calculate GCF of 758,7050

2 758, 7050
379, 3525

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13719780/2

Therefore the LCM of Fractions 3764/758,7290/7050 is 6859890

Greatest Common Factor of 758,7050 By Matching Biggest Common Factor Method

Greatest Common Factor of 758,7050 By Matching Biggest Common Factor Method

Factors of 758

List of positive integer factors of 758 that divides 758 without a remainder.

1,2,379,758

Factors of 7050

List of positive integer factors of 7050 that divides 7050 without a remainder.

1,2,3,5,6,10,15,25,30,47,50,75,94,141,150,235,282,470,705,1175,1410,2350,3525,7050

Greatest Common Factor

We found the factors 758,7050 . The biggest common factor number is the GCF number.
So the greatest common factor 758,7050 is 2.


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 3764/758, 7290/7050

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 3764/758, 7290/7050?

Answer: LCM of Numerators as per given numbers 3764/758, 7290/7050 is

LCM of Numerators i.e. for 3764,7290 is 13719780

GCF of denominators i.e. for 758,7050 is 2.

Thus, LCM of Fractions is 6859890.Finally, LCM of Fractions for 3764/758, 7290/7050 is 6859890.