Least Common Multiple of 98/78, 53/68, 80/25, 53/525

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 98/78, 53/68, 80/25, 53/525 quickly i.e. 207760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 98/78, 53/68, 80/25, 53/525 is 207760.

LCM(98/78, 53/68, 80/25, 53/525) = 207760

LCM of 98/78, 53/68, 80/25, 53/525

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 98/78,53/68,80/25,53/525

Given numbers are 98/78,53/68,80/25,53/525

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 98,53,80,53

Least Common Multiple of Numerators i.e. LCM of 98,53,80,53 is 207760.

GCF of Denominators means GCF of 78,68,25,525 as per the given fractions.

GCF of 78,68,25,525 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 98,53,80,53

LCM of Fractions 98/78,53/68,80/25,53/525 is 207760

2 98, 53, 80, 53
53 49, 53, 40, 53
49, 1, 40, 1

∴ So the LCM of the given numbers is 2 x 53 x 49 x 1 x 40 x 1 = 207760

Least Common Multiple of 98,53,80,53 with GCF Formula

Least Common Multiple of 98,53,80,53 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 98,53,80,53 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,53,80,53) = 1

common factors(in case of two or more numbers have common factors) = 106

GCF(98,53,80,53) x common factors =1 x 106 = 106

LCM(98,53,80,53) = ( 98 × 53 × 80 × 53 ) / 106

LCM(98,53,80,53) = 22022560 / 106

LCM(98,53,80,53) = 207760


Lets's calculate GCF of 78,68,25,525

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 207760/1

Therefore the LCM of Fractions 98/78,53/68,80/25,53/525 is 207760

Greatest Common Factor of 78,68,25,525 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,68,25,525 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 525

List of positive integer factors of 525 that divides 525 without a remainder.

1,3,5,7,15,21,25,35,75,105,175,525

Greatest Common Factor

We found the factors 78,68,25,525 . The biggest common factor number is the GCF number.
So the greatest common factor 78,68,25,525 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 98/78, 53/68, 80/25, 53/525

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 98/78, 53/68, 80/25, 53/525?

Answer: LCM of Numerators as per given numbers 98/78, 53/68, 80/25, 53/525 is

LCM of Numerators i.e. for 98,53,80,53 is 207760

GCF of denominators i.e. for 78,68,25,525 is 1.

Thus, LCM of Fractions is 207760.Finally, LCM of Fractions for 98/78, 53/68, 80/25, 53/525 is 207760.