Least Common Multiple of 169/818, 830/370

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 169/818, 830/370 quickly i.e. 70135 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 169/818, 830/370 is 70135.

LCM(169/818, 830/370) = 70135

LCM of 169/818, 830/370

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 169/818,830/370

Given numbers are 169/818,830/370

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 169,830

Least Common Multiple of Numerators i.e. LCM of 169,830 is 140270.

GCF of Denominators means GCF of 818,370 as per the given fractions.

GCF of 818,370 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 169,830

LCM of Fractions 169/818,830/370 is 70135

Given numbers has no common factors except 1. So, there LCM is their product i.e 140270

Least Common Multiple of 169,830 with GCF Formula

Least Common Multiple of 169,830 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 169,830 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(169,830) = 1

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

GCF(169,830) x common factors =1 x 1 = 1

LCM(169,830) = ( 169 × 830 ) / 1

LCM(169,830) = 140270 / 1

LCM(169,830) = 140270


Lets's calculate GCF of 818,370

2 818, 370
409, 185

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 140270/2

Therefore the LCM of Fractions 169/818,830/370 is 70135

Greatest Common Factor of 818,370 By Matching Biggest Common Factor Method

Greatest Common Factor of 818,370 By Matching Biggest Common Factor Method

Factors of 818

List of positive integer factors of 818 that divides 818 without a remainder.

1,2,409,818

Factors of 370

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

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

Greatest Common Factor

We found the factors 818,370 . The biggest common factor number is the GCF number.
So the greatest common factor 818,370 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 169/818, 830/370

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 169/818, 830/370?

Answer: LCM of Numerators as per given numbers 169/818, 830/370 is

LCM of Numerators i.e. for 169,830 is 140270

GCF of denominators i.e. for 818,370 is 2.

Thus, LCM of Fractions is 70135.Finally, LCM of Fractions for 169/818, 830/370 is 70135.