Least Common Multiple of 245/67, 314/59, 341/959

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 245/67, 314/59, 341/959 quickly i.e. 26233130 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 245/67, 314/59, 341/959 is 26233130.

LCM(245/67, 314/59, 341/959) = 26233130

LCM of 245/67, 314/59, 341/959

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 245/67,314/59,341/959

Given numbers are 245/67,314/59,341/959

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 245,314,341

Least Common Multiple of Numerators i.e. LCM of 245,314,341 is 26233130.

GCF of Denominators means GCF of 67,59,959 as per the given fractions.

GCF of 67,59,959 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 245,314,341

LCM of Fractions 245/67,314/59,341/959 is 26233130

Given numbers has no common factors except 1. So, there LCM is their product i.e 26233130

Least Common Multiple of 245,314,341 with GCF Formula

Least Common Multiple of 245,314,341 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 245,314,341 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(245,314,341) = 1

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

GCF(245,314,341) x common factors =1 x 1 = 1

LCM(245,314,341) = ( 245 × 314 × 341 ) / 1

LCM(245,314,341) = 26233130 / 1

LCM(245,314,341) = 26233130


Lets's calculate GCF of 67,59,959

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26233130/1

Therefore the LCM of Fractions 245/67,314/59,341/959 is 26233130

Greatest Common Factor of 67,59,959 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,59,959 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 959

List of positive integer factors of 959 that divides 959 without a remainder.

1,7,137,959

Greatest Common Factor

We found the factors 67,59,959 . The biggest common factor number is the GCF number.
So the greatest common factor 67,59,959 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 245/67, 314/59, 341/959

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 245/67, 314/59, 341/959?

Answer: LCM of Numerators as per given numbers 245/67, 314/59, 341/959 is

LCM of Numerators i.e. for 245,314,341 is 26233130

GCF of denominators i.e. for 67,59,959 is 1.

Thus, LCM of Fractions is 26233130.Finally, LCM of Fractions for 245/67, 314/59, 341/959 is 26233130.