Least Common Multiple of 4090/370, 5670/6390

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4090/370, 5670/6390 quickly i.e. 231903 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4090/370, 5670/6390 is 231903.

LCM(4090/370, 5670/6390) = 231903

LCM of 4090/370, 5670/6390

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 4090/370,5670/6390

Given numbers are 4090/370,5670/6390

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 4090,5670

Least Common Multiple of Numerators i.e. LCM of 4090,5670 is 2319030.

GCF of Denominators means GCF of 370,6390 as per the given fractions.

GCF of 370,6390 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4090,5670

LCM of Fractions 4090/370,5670/6390 is 231903

2 4090, 5670
5 2045, 2835
409, 567

∴ So the LCM of the given numbers is 2 x 5 x 409 x 567 = 2319030

Least Common Multiple of 4090,5670 with GCF Formula

Least Common Multiple of 4090,5670 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 4090,5670 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4090,5670) = 10

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

GCF(4090,5670) x common factors =10 x 1 = 10

LCM(4090,5670) = ( 4090 × 5670 ) / 10

LCM(4090,5670) = 23190300 / 10

LCM(4090,5670) = 2319030


Lets's calculate GCF of 370,6390

2 370, 6390
5 185, 3195
37, 639

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2319030/10

Therefore the LCM of Fractions 4090/370,5670/6390 is 231903

Greatest Common Factor of 370,6390 By Matching Biggest Common Factor Method

Greatest Common Factor of 370,6390 By Matching Biggest Common Factor Method

Factors of 370

List of positive integer factors of 370 that divides 370 without a remainder.

1,2,5,10,37,74,185,370

Factors of 6390

List of positive integer factors of 6390 that divides 6390 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,71,90,142,213,355,426,639,710,1065,1278,2130,3195,6390

Greatest Common Factor

We found the factors 370,6390 . The biggest common factor number is the GCF number.
So the greatest common factor 370,6390 is 10.


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 4090/370, 5670/6390

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 4090/370, 5670/6390?

Answer: LCM of Numerators as per given numbers 4090/370, 5670/6390 is

LCM of Numerators i.e. for 4090,5670 is 2319030

GCF of denominators i.e. for 370,6390 is 10.

Thus, LCM of Fractions is 231903.Finally, LCM of Fractions for 4090/370, 5670/6390 is 231903.