Least Common Multiple of 157/35, 569/44, 921/569

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 157/35, 569/44, 921/569 quickly i.e. 82275693 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 157/35, 569/44, 921/569 is 82275693.

LCM(157/35, 569/44, 921/569) = 82275693

LCM of 157/35, 569/44, 921/569

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 157/35,569/44,921/569

Given numbers are 157/35,569/44,921/569

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 157,569,921

Least Common Multiple of Numerators i.e. LCM of 157,569,921 is 82275693.

GCF of Denominators means GCF of 35,44,569 as per the given fractions.

GCF of 35,44,569 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 157,569,921

LCM of Fractions 157/35,569/44,921/569 is 82275693

Given numbers has no common factors except 1. So, there LCM is their product i.e 82275693

Least Common Multiple of 157,569,921 with GCF Formula

Least Common Multiple of 157,569,921 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 157,569,921 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(157,569,921) = 1

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

GCF(157,569,921) x common factors =1 x 1 = 1

LCM(157,569,921) = ( 157 × 569 × 921 ) / 1

LCM(157,569,921) = 82275693 / 1

LCM(157,569,921) = 82275693


Lets's calculate GCF of 35,44,569

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 82275693/1

Therefore the LCM of Fractions 157/35,569/44,921/569 is 82275693

Greatest Common Factor of 35,44,569 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,44,569 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 569

List of positive integer factors of 569 that divides 569 without a remainder.

1,569

Greatest Common Factor

We found the factors 35,44,569 . The biggest common factor number is the GCF number.
So the greatest common factor 35,44,569 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 157/35, 569/44, 921/569

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 157/35, 569/44, 921/569?

Answer: LCM of Numerators as per given numbers 157/35, 569/44, 921/569 is

LCM of Numerators i.e. for 157,569,921 is 82275693

GCF of denominators i.e. for 35,44,569 is 1.

Thus, LCM of Fractions is 82275693.Finally, LCM of Fractions for 157/35, 569/44, 921/569 is 82275693.