Least Common Multiple of 61/35, 785/52, 691/945

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/35, 785/52, 691/945 quickly i.e. 33088535 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/35, 785/52, 691/945 is 33088535.

LCM(61/35, 785/52, 691/945) = 33088535

LCM of 61/35, 785/52, 691/945

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 61/35,785/52,691/945

Given numbers are 61/35,785/52,691/945

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 61,785,691

Least Common Multiple of Numerators i.e. LCM of 61,785,691 is 33088535.

GCF of Denominators means GCF of 35,52,945 as per the given fractions.

GCF of 35,52,945 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,785,691

LCM of Fractions 61/35,785/52,691/945 is 33088535

Given numbers has no common factors except 1. So, there LCM is their product i.e 33088535

Least Common Multiple of 61,785,691 with GCF Formula

Least Common Multiple of 61,785,691 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 61,785,691 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,785,691) = 1

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

GCF(61,785,691) x common factors =1 x 1 = 1

LCM(61,785,691) = ( 61 × 785 × 691 ) / 1

LCM(61,785,691) = 33088535 / 1

LCM(61,785,691) = 33088535


Lets's calculate GCF of 35,52,945

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33088535/1

Therefore the LCM of Fractions 61/35,785/52,691/945 is 33088535

Greatest Common Factor of 35,52,945 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,52,945 By Matching Biggest Common Factor Method

Factors of 35

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

1,5,7,35

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Greatest Common Factor

We found the factors 35,52,945 . The biggest common factor number is the GCF number.
So the greatest common factor 35,52,945 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 61/35, 785/52, 691/945

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 61/35, 785/52, 691/945?

Answer: LCM of Numerators as per given numbers 61/35, 785/52, 691/945 is

LCM of Numerators i.e. for 61,785,691 is 33088535

GCF of denominators i.e. for 35,52,945 is 1.

Thus, LCM of Fractions is 33088535.Finally, LCM of Fractions for 61/35, 785/52, 691/945 is 33088535.