Least Common Multiple of 257/398, 267/252, 859/141

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 257/398, 267/252, 859/141 quickly i.e. 58943721 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 257/398, 267/252, 859/141 is 58943721.

LCM(257/398, 267/252, 859/141) = 58943721

LCM of 257/398, 267/252, 859/141

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 257/398,267/252,859/141

Given numbers are 257/398,267/252,859/141

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 257,267,859

Least Common Multiple of Numerators i.e. LCM of 257,267,859 is 58943721.

GCF of Denominators means GCF of 398,252,141 as per the given fractions.

GCF of 398,252,141 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 257,267,859

LCM of Fractions 257/398,267/252,859/141 is 58943721

Given numbers has no common factors except 1. So, there LCM is their product i.e 58943721

Least Common Multiple of 257,267,859 with GCF Formula

Least Common Multiple of 257,267,859 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 257,267,859 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(257,267,859) = 1

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

GCF(257,267,859) x common factors =1 x 1 = 1

LCM(257,267,859) = ( 257 × 267 × 859 ) / 1

LCM(257,267,859) = 58943721 / 1

LCM(257,267,859) = 58943721


Lets's calculate GCF of 398,252,141

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58943721/1

Therefore the LCM of Fractions 257/398,267/252,859/141 is 58943721

Greatest Common Factor of 398,252,141 By Matching Biggest Common Factor Method

Greatest Common Factor of 398,252,141 By Matching Biggest Common Factor Method

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Factors of 141

List of positive integer factors of 141 that divides 141 without a remainder.

1,3,47,141

Greatest Common Factor

We found the factors 398,252,141 . The biggest common factor number is the GCF number.
So the greatest common factor 398,252,141 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 257/398, 267/252, 859/141

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 257/398, 267/252, 859/141?

Answer: LCM of Numerators as per given numbers 257/398, 267/252, 859/141 is

LCM of Numerators i.e. for 257,267,859 is 58943721

GCF of denominators i.e. for 398,252,141 is 1.

Thus, LCM of Fractions is 58943721.Finally, LCM of Fractions for 257/398, 267/252, 859/141 is 58943721.