Least Common Multiple of 140/28, 469/6402

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 140/28, 469/6402 quickly i.e. 4690 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 140/28, 469/6402 is 4690.

LCM(140/28, 469/6402) = 4690

LCM of 140/28, 469/6402

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 140/28,469/6402

Given numbers are 140/28,469/6402

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 140,469

Least Common Multiple of Numerators i.e. LCM of 140,469 is 9380.

GCF of Denominators means GCF of 28,6402 as per the given fractions.

GCF of 28,6402 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 140,469

LCM of Fractions 140/28,469/6402 is 4690

7 140, 469
20, 67

∴ So the LCM of the given numbers is 7 x 20 x 67 = 9380

Least Common Multiple of 140,469 with GCF Formula

Least Common Multiple of 140,469 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 140,469 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(140,469) = 7

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

GCF(140,469) x common factors =7 x 1 = 7

LCM(140,469) = ( 140 × 469 ) / 7

LCM(140,469) = 65660 / 7

LCM(140,469) = 9380


Lets's calculate GCF of 28,6402

2 28, 6402
14, 3201

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9380/2

Therefore the LCM of Fractions 140/28,469/6402 is 4690

Greatest Common Factor of 28,6402 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,6402 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 6402

List of positive integer factors of 6402 that divides 6402 without a remainder.

1,2,3,6,11,22,33,66,97,194,291,582,1067,2134,3201,6402

Greatest Common Factor

We found the factors 28,6402 . The biggest common factor number is the GCF number.
So the greatest common factor 28,6402 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 140/28, 469/6402

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 140/28, 469/6402?

Answer: LCM of Numerators as per given numbers 140/28, 469/6402 is

LCM of Numerators i.e. for 140,469 is 9380

GCF of denominators i.e. for 28,6402 is 2.

Thus, LCM of Fractions is 4690.Finally, LCM of Fractions for 140/28, 469/6402 is 4690.