Least Common Multiple of 701/998, 557/309, 742/897

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 701/998, 557/309, 742/897 quickly i.e. 289719094 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 701/998, 557/309, 742/897 is 289719094.

LCM(701/998, 557/309, 742/897) = 289719094

LCM of 701/998, 557/309, 742/897

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 701/998,557/309,742/897

Given numbers are 701/998,557/309,742/897

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 701,557,742

Least Common Multiple of Numerators i.e. LCM of 701,557,742 is 289719094.

GCF of Denominators means GCF of 998,309,897 as per the given fractions.

GCF of 998,309,897 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 701,557,742

LCM of Fractions 701/998,557/309,742/897 is 289719094

Given numbers has no common factors except 1. So, there LCM is their product i.e 289719094

Least Common Multiple of 701,557,742 with GCF Formula

Least Common Multiple of 701,557,742 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 701,557,742 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(701,557,742) = 1

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

GCF(701,557,742) x common factors =1 x 1 = 1

LCM(701,557,742) = ( 701 × 557 × 742 ) / 1

LCM(701,557,742) = 289719094 / 1

LCM(701,557,742) = 289719094


Lets's calculate GCF of 998,309,897

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 289719094/1

Therefore the LCM of Fractions 701/998,557/309,742/897 is 289719094

Greatest Common Factor of 998,309,897 By Matching Biggest Common Factor Method

Greatest Common Factor of 998,309,897 By Matching Biggest Common Factor Method

Factors of 998

List of positive integer factors of 998 that divides 998 without a remainder.

1,2,499,998

Factors of 309

List of positive integer factors of 309 that divides 309 without a remainder.

1,3,103,309

Factors of 897

List of positive integer factors of 897 that divides 897 without a remainder.

1,3,13,23,39,69,299,897

Greatest Common Factor

We found the factors 998,309,897 . The biggest common factor number is the GCF number.
So the greatest common factor 998,309,897 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 701/998, 557/309, 742/897

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 701/998, 557/309, 742/897?

Answer: LCM of Numerators as per given numbers 701/998, 557/309, 742/897 is

LCM of Numerators i.e. for 701,557,742 is 289719094

GCF of denominators i.e. for 998,309,897 is 1.

Thus, LCM of Fractions is 289719094.Finally, LCM of Fractions for 701/998, 557/309, 742/897 is 289719094.