Least Common Multiple of 98/975, 2251/3977

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 98/975, 2251/3977 quickly i.e. 220598 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 98/975, 2251/3977 is 220598.

LCM(98/975, 2251/3977) = 220598

LCM of 98/975, 2251/3977

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 98/975,2251/3977

Given numbers are 98/975,2251/3977

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 98,2251

Least Common Multiple of Numerators i.e. LCM of 98,2251 is 220598.

GCF of Denominators means GCF of 975,3977 as per the given fractions.

GCF of 975,3977 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 98,2251

LCM of Fractions 98/975,2251/3977 is 220598

Given numbers has no common factors except 1. So, there LCM is their product i.e 220598

Least Common Multiple of 98,2251 with GCF Formula

Least Common Multiple of 98,2251 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 98,2251 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,2251) = 1

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

GCF(98,2251) x common factors =1 x 1 = 1

LCM(98,2251) = ( 98 × 2251 ) / 1

LCM(98,2251) = 220598 / 1

LCM(98,2251) = 220598


Lets's calculate GCF of 975,3977

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 220598/1

Therefore the LCM of Fractions 98/975,2251/3977 is 220598

Greatest Common Factor of 975,3977 By Matching Biggest Common Factor Method

Greatest Common Factor of 975,3977 By Matching Biggest Common Factor Method

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Factors of 3977

List of positive integer factors of 3977 that divides 3977 without a remainder.

1,41,97,3977

Greatest Common Factor

We found the factors 975,3977 . The biggest common factor number is the GCF number.
So the greatest common factor 975,3977 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 98/975, 2251/3977

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 98/975, 2251/3977?

Answer: LCM of Numerators as per given numbers 98/975, 2251/3977 is

LCM of Numerators i.e. for 98,2251 is 220598

GCF of denominators i.e. for 975,3977 is 1.

Thus, LCM of Fractions is 220598.Finally, LCM of Fractions for 98/975, 2251/3977 is 220598.