Least Common Multiple of 98/850, 5639/7725

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 98/850, 5639/7725 quickly i.e. 552622/25 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 98/850, 5639/7725 is 552622/25.

LCM(98/850, 5639/7725) = 552622/25

LCM of 98/850, 5639/7725

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 98/850,5639/7725

Given numbers are 98/850,5639/7725

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 98,5639

Least Common Multiple of Numerators i.e. LCM of 98,5639 is 552622.

GCF of Denominators means GCF of 850,7725 as per the given fractions.

GCF of 850,7725 is 25 as it is the largest common factor for these numbers.

Lets's calculate LCM of 98,5639

LCM of Fractions 98/850,5639/7725 is 552622/25

Given numbers has no common factors except 1. So, there LCM is their product i.e 552622

Least Common Multiple of 98,5639 with GCF Formula

Least Common Multiple of 98,5639 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 98,5639 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,5639) = 1

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

GCF(98,5639) x common factors =1 x 1 = 1

LCM(98,5639) = ( 98 × 5639 ) / 1

LCM(98,5639) = 552622 / 1

LCM(98,5639) = 552622


Lets's calculate GCF of 850,7725

5 850, 7725
5 170, 1545
34, 309

∴ So the GCF of the given numbers is 5 x 5 = 25

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 552622/25

Therefore the LCM of Fractions 98/850,5639/7725 is 552622/25

Greatest Common Factor of 850,7725 By Matching Biggest Common Factor Method

Greatest Common Factor of 850,7725 By Matching Biggest Common Factor Method

Factors of 850

List of positive integer factors of 850 that divides 850 without a remainder.

1,2,5,10,17,25,34,50,85,170,425,850

Factors of 7725

List of positive integer factors of 7725 that divides 7725 without a remainder.

1,3,5,15,25,75,103,309,515,1545,2575,7725

Greatest Common Factor

We found the factors 850,7725 . The biggest common factor number is the GCF number.
So the greatest common factor 850,7725 is 25.


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 98/850, 5639/7725

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 98/850, 5639/7725?

Answer: LCM of Numerators as per given numbers 98/850, 5639/7725 is

LCM of Numerators i.e. for 98,5639 is 552622

GCF of denominators i.e. for 850,7725 is 25.

Thus, LCM of Fractions is 552622/25.Finally, LCM of Fractions for 98/850, 5639/7725 is 552622/25.