Least Common Multiple of 98/52, 33/12, 83/39, 77/762

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 98/52, 33/12, 83/39, 77/762 quickly i.e. 268422 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 98/52, 33/12, 83/39, 77/762 is 268422.

LCM(98/52, 33/12, 83/39, 77/762) = 268422

LCM of 98/52, 33/12, 83/39, 77/762

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 98/52,33/12,83/39,77/762

Given numbers are 98/52,33/12,83/39,77/762

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 98,33,83,77

Least Common Multiple of Numerators i.e. LCM of 98,33,83,77 is 268422.

GCF of Denominators means GCF of 52,12,39,762 as per the given fractions.

GCF of 52,12,39,762 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 98,33,83,77

LCM of Fractions 98/52,33/12,83/39,77/762 is 268422

7 98, 33, 83, 77
11 14, 33, 83, 11
14, 3, 83, 1

∴ So the LCM of the given numbers is 7 x 11 x 14 x 3 x 83 x 1 = 268422

Least Common Multiple of 98,33,83,77 with GCF Formula

Least Common Multiple of 98,33,83,77 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 98,33,83,77 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,33,83,77) = 1

common factors(in case of two or more numbers have common factors) = 77

GCF(98,33,83,77) x common factors =1 x 77 = 77

LCM(98,33,83,77) = ( 98 × 33 × 83 × 77 ) / 77

LCM(98,33,83,77) = 20668494 / 77

LCM(98,33,83,77) = 268422


Lets's calculate GCF of 52,12,39,762

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 268422/1

Therefore the LCM of Fractions 98/52,33/12,83/39,77/762 is 268422

Greatest Common Factor of 52,12,39,762 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,12,39,762 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Greatest Common Factor

We found the factors 52,12,39,762 . The biggest common factor number is the GCF number.
So the greatest common factor 52,12,39,762 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 98/52, 33/12, 83/39, 77/762

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 98/52, 33/12, 83/39, 77/762?

Answer: LCM of Numerators as per given numbers 98/52, 33/12, 83/39, 77/762 is

LCM of Numerators i.e. for 98,33,83,77 is 268422

GCF of denominators i.e. for 52,12,39,762 is 1.

Thus, LCM of Fractions is 268422.Finally, LCM of Fractions for 98/52, 33/12, 83/39, 77/762 is 268422.