Least Common Multiple of 98/201, 392/400, 938/750

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 98/201, 392/400, 938/750 quickly i.e. 26264 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 98/201, 392/400, 938/750 is 26264.

LCM(98/201, 392/400, 938/750) = 26264

LCM of 98/201, 392/400, 938/750

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 98/201,392/400,938/750

Given numbers are 98/201,392/400,938/750

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 98,392,938

Least Common Multiple of Numerators i.e. LCM of 98,392,938 is 26264.

GCF of Denominators means GCF of 201,400,750 as per the given fractions.

GCF of 201,400,750 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 98,392,938

LCM of Fractions 98/201,392/400,938/750 is 26264

2 98, 392, 938
7 49, 196, 469
7 7, 28, 67
1, 4, 67

∴ So the LCM of the given numbers is 2 x 7 x 7 x 1 x 4 x 67 = 26264

Least Common Multiple of 98,392,938 with GCF Formula

Least Common Multiple of 98,392,938 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 98,392,938 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,392,938) = 14

common factors(in case of two or more numbers have common factors) = 98

GCF(98,392,938) x common factors =14 x 98 = 1372

LCM(98,392,938) = ( 98 × 392 × 938 ) / 1372

LCM(98,392,938) = 36034208 / 1372

LCM(98,392,938) = 26264


Lets's calculate GCF of 201,400,750

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26264/1

Therefore the LCM of Fractions 98/201,392/400,938/750 is 26264

Greatest Common Factor of 201,400,750 By Matching Biggest Common Factor Method

Greatest Common Factor of 201,400,750 By Matching Biggest Common Factor Method

Factors of 201

List of positive integer factors of 201 that divides 201 without a remainder.

1,3,67,201

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Factors of 750

List of positive integer factors of 750 that divides 750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750

Greatest Common Factor

We found the factors 201,400,750 . The biggest common factor number is the GCF number.
So the greatest common factor 201,400,750 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 98/201, 392/400, 938/750

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 98/201, 392/400, 938/750?

Answer: LCM of Numerators as per given numbers 98/201, 392/400, 938/750 is

LCM of Numerators i.e. for 98,392,938 is 26264

GCF of denominators i.e. for 201,400,750 is 1.

Thus, LCM of Fractions is 26264.Finally, LCM of Fractions for 98/201, 392/400, 938/750 is 26264.