Least Common Multiple of 3/50, 7/78, 42/35, 67/261

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3/50, 7/78, 42/35, 67/261 quickly i.e. 2814 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3/50, 7/78, 42/35, 67/261 is 2814.

LCM(3/50, 7/78, 42/35, 67/261) = 2814

LCM of 3/50, 7/78, 42/35, 67/261

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 3/50,7/78,42/35,67/261

Given numbers are 3/50,7/78,42/35,67/261

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 3,7,42,67

Least Common Multiple of Numerators i.e. LCM of 3,7,42,67 is 2814.

GCF of Denominators means GCF of 50,78,35,261 as per the given fractions.

GCF of 50,78,35,261 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,7,42,67

LCM of Fractions 3/50,7/78,42/35,67/261 is 2814

3 3, 7, 42, 67
7 1, 7, 14, 67
1, 1, 2, 67

∴ So the LCM of the given numbers is 3 x 7 x 1 x 1 x 2 x 67 = 2814

Least Common Multiple of 3,7,42,67 with GCF Formula

Least Common Multiple of 3,7,42,67 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 3,7,42,67 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,7,42,67) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(3,7,42,67) x common factors =1 x 21 = 21

LCM(3,7,42,67) = ( 3 × 7 × 42 × 67 ) / 21

LCM(3,7,42,67) = 59094 / 21

LCM(3,7,42,67) = 2814


Lets's calculate GCF of 50,78,35,261

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2814/1

Therefore the LCM of Fractions 3/50,7/78,42/35,67/261 is 2814

Greatest Common Factor of 50,78,35,261 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,78,35,261 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 261

List of positive integer factors of 261 that divides 261 without a remainder.

1,3,9,29,87,261

Greatest Common Factor

We found the factors 50,78,35,261 . The biggest common factor number is the GCF number.
So the greatest common factor 50,78,35,261 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 3/50, 7/78, 42/35, 67/261

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 3/50, 7/78, 42/35, 67/261?

Answer: LCM of Numerators as per given numbers 3/50, 7/78, 42/35, 67/261 is

LCM of Numerators i.e. for 3,7,42,67 is 2814

GCF of denominators i.e. for 50,78,35,261 is 1.

Thus, LCM of Fractions is 2814.Finally, LCM of Fractions for 3/50, 7/78, 42/35, 67/261 is 2814.