Least Common Multiple of 598/698, 377/337, 361/752

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 598/698, 377/337, 361/752 quickly i.e. 6260462 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 598/698, 377/337, 361/752 is 6260462.

LCM(598/698, 377/337, 361/752) = 6260462

LCM of 598/698, 377/337, 361/752

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 598/698,377/337,361/752

Given numbers are 598/698,377/337,361/752

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 598,377,361

Least Common Multiple of Numerators i.e. LCM of 598,377,361 is 6260462.

GCF of Denominators means GCF of 698,337,752 as per the given fractions.

GCF of 698,337,752 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 598,377,361

LCM of Fractions 598/698,377/337,361/752 is 6260462

13 598, 377, 361
46, 29, 361

∴ So the LCM of the given numbers is 13 x 46 x 29 x 361 = 6260462

Least Common Multiple of 598,377,361 with GCF Formula

Least Common Multiple of 598,377,361 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 598,377,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(598,377,361) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(598,377,361) x common factors =1 x 13 = 13

LCM(598,377,361) = ( 598 × 377 × 361 ) / 13

LCM(598,377,361) = 81386006 / 13

LCM(598,377,361) = 6260462


Lets's calculate GCF of 698,337,752

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6260462/1

Therefore the LCM of Fractions 598/698,377/337,361/752 is 6260462

Greatest Common Factor of 698,337,752 By Matching Biggest Common Factor Method

Greatest Common Factor of 698,337,752 By Matching Biggest Common Factor Method

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Factors of 337

List of positive integer factors of 337 that divides 337 without a remainder.

1,337

Factors of 752

List of positive integer factors of 752 that divides 752 without a remainder.

1,2,4,8,16,47,94,188,376,752

Greatest Common Factor

We found the factors 698,337,752 . The biggest common factor number is the GCF number.
So the greatest common factor 698,337,752 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 598/698, 377/337, 361/752

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 598/698, 377/337, 361/752?

Answer: LCM of Numerators as per given numbers 598/698, 377/337, 361/752 is

LCM of Numerators i.e. for 598,377,361 is 6260462

GCF of denominators i.e. for 698,337,752 is 1.

Thus, LCM of Fractions is 6260462.Finally, LCM of Fractions for 598/698, 377/337, 361/752 is 6260462.