Least Common Multiple of 3098/77, 1733/352

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3098/77, 1733/352 quickly i.e. 5368834/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3098/77, 1733/352 is 5368834/11.

LCM(3098/77, 1733/352) = 5368834/11

LCM of 3098/77, 1733/352

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 3098/77,1733/352

Given numbers are 3098/77,1733/352

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 3098,1733

Least Common Multiple of Numerators i.e. LCM of 3098,1733 is 5368834.

GCF of Denominators means GCF of 77,352 as per the given fractions.

GCF of 77,352 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3098,1733

LCM of Fractions 3098/77,1733/352 is 5368834/11

Given numbers has no common factors except 1. So, there LCM is their product i.e 5368834

Least Common Multiple of 3098,1733 with GCF Formula

Least Common Multiple of 3098,1733 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 3098,1733 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3098,1733) = 1

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

GCF(3098,1733) x common factors =1 x 1 = 1

LCM(3098,1733) = ( 3098 × 1733 ) / 1

LCM(3098,1733) = 5368834 / 1

LCM(3098,1733) = 5368834


Lets's calculate GCF of 77,352

11 77, 352
7, 32

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5368834/11

Therefore the LCM of Fractions 3098/77,1733/352 is 5368834/11

Greatest Common Factor of 77,352 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,352 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

Greatest Common Factor

We found the factors 77,352 . The biggest common factor number is the GCF number.
So the greatest common factor 77,352 is 11.


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 3098/77, 1733/352

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 3098/77, 1733/352?

Answer: LCM of Numerators as per given numbers 3098/77, 1733/352 is

LCM of Numerators i.e. for 3098,1733 is 5368834

GCF of denominators i.e. for 77,352 is 11.

Thus, LCM of Fractions is 5368834/11.Finally, LCM of Fractions for 3098/77, 1733/352 is 5368834/11.