Least Common Multiple of 850/42, 208/9878

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 850/42, 208/9878 quickly i.e. 44200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 850/42, 208/9878 is 44200.

LCM(850/42, 208/9878) = 44200

LCM of 850/42, 208/9878

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 850/42,208/9878

Given numbers are 850/42,208/9878

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 850,208

Least Common Multiple of Numerators i.e. LCM of 850,208 is 88400.

GCF of Denominators means GCF of 42,9878 as per the given fractions.

GCF of 42,9878 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 850,208

LCM of Fractions 850/42,208/9878 is 44200

2 850, 208
425, 104

∴ So the LCM of the given numbers is 2 x 425 x 104 = 88400

Least Common Multiple of 850,208 with GCF Formula

Least Common Multiple of 850,208 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 850,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(850,208) = 2

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

GCF(850,208) x common factors =2 x 1 = 2

LCM(850,208) = ( 850 × 208 ) / 2

LCM(850,208) = 176800 / 2

LCM(850,208) = 88400


Lets's calculate GCF of 42,9878

2 42, 9878
21, 4939

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 88400/2

Therefore the LCM of Fractions 850/42,208/9878 is 44200

Greatest Common Factor of 42,9878 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,9878 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 9878

List of positive integer factors of 9878 that divides 9878 without a remainder.

1,2,11,22,449,898,4939,9878

Greatest Common Factor

We found the factors 42,9878 . The biggest common factor number is the GCF number.
So the greatest common factor 42,9878 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 850/42, 208/9878

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 850/42, 208/9878?

Answer: LCM of Numerators as per given numbers 850/42, 208/9878 is

LCM of Numerators i.e. for 850,208 is 88400

GCF of denominators i.e. for 42,9878 is 2.

Thus, LCM of Fractions is 44200.Finally, LCM of Fractions for 850/42, 208/9878 is 44200.