Least Common Multiple of 3274/616, 5698/536

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3274/616, 5698/536 quickly i.e. 9327626/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3274/616, 5698/536 is 9327626/8.

LCM(3274/616, 5698/536) = 9327626/8

LCM of 3274/616, 5698/536

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 3274/616,5698/536

Given numbers are 3274/616,5698/536

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 3274,5698

Least Common Multiple of Numerators i.e. LCM of 3274,5698 is 9327626.

GCF of Denominators means GCF of 616,536 as per the given fractions.

GCF of 616,536 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3274,5698

LCM of Fractions 3274/616,5698/536 is 9327626/8

2 3274, 5698
1637, 2849

∴ So the LCM of the given numbers is 2 x 1637 x 2849 = 9327626

Least Common Multiple of 3274,5698 with GCF Formula

Least Common Multiple of 3274,5698 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 3274,5698 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3274,5698) = 2

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

GCF(3274,5698) x common factors =2 x 1 = 2

LCM(3274,5698) = ( 3274 × 5698 ) / 2

LCM(3274,5698) = 18655252 / 2

LCM(3274,5698) = 9327626


Lets's calculate GCF of 616,536

2 616, 536
2 308, 268
2 154, 134
77, 67

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9327626/8

Therefore the LCM of Fractions 3274/616,5698/536 is 9327626/8

Greatest Common Factor of 616,536 By Matching Biggest Common Factor Method

Greatest Common Factor of 616,536 By Matching Biggest Common Factor Method

Factors of 616

List of positive integer factors of 616 that divides 616 without a remainder.

1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616

Factors of 536

List of positive integer factors of 536 that divides 536 without a remainder.

1,2,4,8,67,134,268,536

Greatest Common Factor

We found the factors 616,536 . The biggest common factor number is the GCF number.
So the greatest common factor 616,536 is 8.


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 3274/616, 5698/536

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 3274/616, 5698/536?

Answer: LCM of Numerators as per given numbers 3274/616, 5698/536 is

LCM of Numerators i.e. for 3274,5698 is 9327626

GCF of denominators i.e. for 616,536 is 8.

Thus, LCM of Fractions is 9327626/8.Finally, LCM of Fractions for 3274/616, 5698/536 is 9327626/8.