Least Common Multiple of 163/85, 349/40, 870/398

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 163/85, 349/40, 870/398 quickly i.e. 49491690 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 163/85, 349/40, 870/398 is 49491690.

LCM(163/85, 349/40, 870/398) = 49491690

LCM of 163/85, 349/40, 870/398

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 163/85,349/40,870/398

Given numbers are 163/85,349/40,870/398

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 163,349,870

Least Common Multiple of Numerators i.e. LCM of 163,349,870 is 49491690.

GCF of Denominators means GCF of 85,40,398 as per the given fractions.

GCF of 85,40,398 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 163,349,870

LCM of Fractions 163/85,349/40,870/398 is 49491690

Given numbers has no common factors except 1. So, there LCM is their product i.e 49491690

Least Common Multiple of 163,349,870 with GCF Formula

Least Common Multiple of 163,349,870 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 163,349,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(163,349,870) = 1

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

GCF(163,349,870) x common factors =1 x 1 = 1

LCM(163,349,870) = ( 163 × 349 × 870 ) / 1

LCM(163,349,870) = 49491690 / 1

LCM(163,349,870) = 49491690


Lets's calculate GCF of 85,40,398

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49491690/1

Therefore the LCM of Fractions 163/85,349/40,870/398 is 49491690

Greatest Common Factor of 85,40,398 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,40,398 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Greatest Common Factor

We found the factors 85,40,398 . The biggest common factor number is the GCF number.
So the greatest common factor 85,40,398 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 163/85, 349/40, 870/398

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 163/85, 349/40, 870/398?

Answer: LCM of Numerators as per given numbers 163/85, 349/40, 870/398 is

LCM of Numerators i.e. for 163,349,870 is 49491690

GCF of denominators i.e. for 85,40,398 is 1.

Thus, LCM of Fractions is 49491690.Finally, LCM of Fractions for 163/85, 349/40, 870/398 is 49491690.