Least Common Multiple of 4277/820, 7898/4200

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4277/820, 7898/4200 quickly i.e. 33779746/20 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4277/820, 7898/4200 is 33779746/20.

LCM(4277/820, 7898/4200) = 33779746/20

LCM of 4277/820, 7898/4200

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 4277/820,7898/4200

Given numbers are 4277/820,7898/4200

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 4277,7898

Least Common Multiple of Numerators i.e. LCM of 4277,7898 is 33779746.

GCF of Denominators means GCF of 820,4200 as per the given fractions.

GCF of 820,4200 is 20 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4277,7898

LCM of Fractions 4277/820,7898/4200 is 33779746/20

Given numbers has no common factors except 1. So, there LCM is their product i.e 33779746

Least Common Multiple of 4277,7898 with GCF Formula

Least Common Multiple of 4277,7898 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 4277,7898 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4277,7898) = 1

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

GCF(4277,7898) x common factors =1 x 1 = 1

LCM(4277,7898) = ( 4277 × 7898 ) / 1

LCM(4277,7898) = 33779746 / 1

LCM(4277,7898) = 33779746


Lets's calculate GCF of 820,4200

2 820, 4200
2 410, 2100
5 205, 1050
41, 210

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33779746/20

Therefore the LCM of Fractions 4277/820,7898/4200 is 33779746/20

Greatest Common Factor of 820,4200 By Matching Biggest Common Factor Method

Greatest Common Factor of 820,4200 By Matching Biggest Common Factor Method

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Factors of 4200

List of positive integer factors of 4200 that divides 4200 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,25,28,30,35,40,42,50,56,60,70,75,84,100,105,120,140,150,168,175,200,210,280,300,350,420,525,600,700,840,1050,1400,2100,4200

Greatest Common Factor

We found the factors 820,4200 . The biggest common factor number is the GCF number.
So the greatest common factor 820,4200 is 20.


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 4277/820, 7898/4200

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 4277/820, 7898/4200?

Answer: LCM of Numerators as per given numbers 4277/820, 7898/4200 is

LCM of Numerators i.e. for 4277,7898 is 33779746

GCF of denominators i.e. for 820,4200 is 20.

Thus, LCM of Fractions is 33779746/20.Finally, LCM of Fractions for 4277/820, 7898/4200 is 33779746/20.