Least Common Multiple of 61/950, 41/722

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 61/950, 41/722 quickly i.e. 2501/38 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/950, 41/722 is 2501/38.

LCM(61/950, 41/722) = 2501/38

LCM of 61/950, 41/722

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 61/950,41/722

Given numbers are 61/950,41/722

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 61,41

Least Common Multiple of Numerators i.e. LCM of 61,41 is 2501.

GCF of Denominators means GCF of 950,722 as per the given fractions.

GCF of 950,722 is 38 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,41

LCM of Fractions 61/950,41/722 is 2501/38

Given numbers has no common factors except 1. So, there LCM is their product i.e 2501

Least Common Multiple of 61,41 with GCF Formula

Least Common Multiple of 61,41 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 61,41 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,41) = 1

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

GCF(61,41) x common factors =1 x 1 = 1

LCM(61,41) = ( 61 × 41 ) / 1

LCM(61,41) = 2501 / 1

LCM(61,41) = 2501


Lets's calculate GCF of 950,722

2 950, 722
19 475, 361
25, 19

∴ So the GCF of the given numbers is 2 x 19 = 38

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2501/38

Therefore the LCM of Fractions 61/950,41/722 is 2501/38

Greatest Common Factor of 950,722 By Matching Biggest Common Factor Method

Greatest Common Factor of 950,722 By Matching Biggest Common Factor Method

Factors of 950

List of positive integer factors of 950 that divides 950 without a remainder.

1,2,5,10,19,25,38,50,95,190,475,950

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Greatest Common Factor

We found the factors 950,722 . The biggest common factor number is the GCF number.
So the greatest common factor 950,722 is 38.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 61/950, 41/722

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 61/950, 41/722?

Answer: LCM of Numerators as per given numbers 61/950, 41/722 is

LCM of Numerators i.e. for 61,41 is 2501

GCF of denominators i.e. for 950,722 is 38.

Thus, LCM of Fractions is 2501/38.Finally, LCM of Fractions for 61/950, 41/722 is 2501/38.