Least Common Multiple of 901/219, 7837/3577

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 901/219, 7837/3577 quickly i.e. 415361/73 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 901/219, 7837/3577 is 415361/73.

LCM(901/219, 7837/3577) = 415361/73

LCM of 901/219, 7837/3577

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 901/219,7837/3577

Given numbers are 901/219,7837/3577

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 901,7837

Least Common Multiple of Numerators i.e. LCM of 901,7837 is 415361.

GCF of Denominators means GCF of 219,3577 as per the given fractions.

GCF of 219,3577 is 73 as it is the largest common factor for these numbers.

Lets's calculate LCM of 901,7837

LCM of Fractions 901/219,7837/3577 is 415361/73

17 901, 7837
53, 461

∴ So the LCM of the given numbers is 17 x 53 x 461 = 415361

Least Common Multiple of 901,7837 with GCF Formula

Least Common Multiple of 901,7837 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 901,7837 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(901,7837) = 17

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

GCF(901,7837) x common factors =17 x 1 = 17

LCM(901,7837) = ( 901 × 7837 ) / 17

LCM(901,7837) = 7061137 / 17

LCM(901,7837) = 415361


Lets's calculate GCF of 219,3577

73 219, 3577
3, 49

∴ So the GCF of the given numbers is 73 = 73

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 415361/73

Therefore the LCM of Fractions 901/219,7837/3577 is 415361/73

Greatest Common Factor of 219,3577 By Matching Biggest Common Factor Method

Greatest Common Factor of 219,3577 By Matching Biggest Common Factor Method

Factors of 219

List of positive integer factors of 219 that divides 219 without a remainder.

1,3,73,219

Factors of 3577

List of positive integer factors of 3577 that divides 3577 without a remainder.

1,7,49,73,511,3577

Greatest Common Factor

We found the factors 219,3577 . The biggest common factor number is the GCF number.
So the greatest common factor 219,3577 is 73.


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 901/219, 7837/3577

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 901/219, 7837/3577?

Answer: LCM of Numerators as per given numbers 901/219, 7837/3577 is

LCM of Numerators i.e. for 901,7837 is 415361

GCF of denominators i.e. for 219,3577 is 73.

Thus, LCM of Fractions is 415361/73.Finally, LCM of Fractions for 901/219, 7837/3577 is 415361/73.