Least Common Multiple of 968/85, 689/25, 263/398

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 968/85, 689/25, 263/398 quickly i.e. 175408376 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 968/85, 689/25, 263/398 is 175408376.

LCM(968/85, 689/25, 263/398) = 175408376

LCM of 968/85, 689/25, 263/398

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 968/85,689/25,263/398

Given numbers are 968/85,689/25,263/398

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 968,689,263

Least Common Multiple of Numerators i.e. LCM of 968,689,263 is 175408376.

GCF of Denominators means GCF of 85,25,398 as per the given fractions.

GCF of 85,25,398 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 968,689,263

LCM of Fractions 968/85,689/25,263/398 is 175408376

Given numbers has no common factors except 1. So, there LCM is their product i.e 175408376

Least Common Multiple of 968,689,263 with GCF Formula

Least Common Multiple of 968,689,263 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 968,689,263 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(968,689,263) = 1

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

GCF(968,689,263) x common factors =1 x 1 = 1

LCM(968,689,263) = ( 968 × 689 × 263 ) / 1

LCM(968,689,263) = 175408376 / 1

LCM(968,689,263) = 175408376


Lets's calculate GCF of 85,25,398

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 175408376/1

Therefore the LCM of Fractions 968/85,689/25,263/398 is 175408376

Greatest Common Factor of 85,25,398 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,25,398 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 25

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

1,5,25

Factors of 398

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

1,2,199,398

Greatest Common Factor

We found the factors 85,25,398 . The biggest common factor number is the GCF number.
So the greatest common factor 85,25,398 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 968/85, 689/25, 263/398

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 968/85, 689/25, 263/398?

Answer: LCM of Numerators as per given numbers 968/85, 689/25, 263/398 is

LCM of Numerators i.e. for 968,689,263 is 175408376

GCF of denominators i.e. for 85,25,398 is 1.

Thus, LCM of Fractions is 175408376.Finally, LCM of Fractions for 968/85, 689/25, 263/398 is 175408376.