Least Common Multiple of 61/341, 529/748, 759/737

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/341, 529/748, 759/737 quickly i.e. 96807 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/341, 529/748, 759/737 is 96807.

LCM(61/341, 529/748, 759/737) = 96807

LCM of 61/341, 529/748, 759/737

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 61/341,529/748,759/737

Given numbers are 61/341,529/748,759/737

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 61,529,759

Least Common Multiple of Numerators i.e. LCM of 61,529,759 is 1064877.

GCF of Denominators means GCF of 341,748,737 as per the given fractions.

GCF of 341,748,737 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,529,759

LCM of Fractions 61/341,529/748,759/737 is 96807

23 61, 529, 759
61, 23, 33

∴ So the LCM of the given numbers is 23 x 61 x 23 x 33 = 1064877

Least Common Multiple of 61,529,759 with GCF Formula

Least Common Multiple of 61,529,759 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 61,529,759 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,529,759) = 1

common factors(in case of two or more numbers have common factors) = 23

GCF(61,529,759) x common factors =1 x 23 = 23

LCM(61,529,759) = ( 61 × 529 × 759 ) / 23

LCM(61,529,759) = 24492171 / 23

LCM(61,529,759) = 1064877


Lets's calculate GCF of 341,748,737

11 341, 748, 737
31, 68, 67

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1064877/11

Therefore the LCM of Fractions 61/341,529/748,759/737 is 96807

Greatest Common Factor of 341,748,737 By Matching Biggest Common Factor Method

Greatest Common Factor of 341,748,737 By Matching Biggest Common Factor Method

Factors of 341

List of positive integer factors of 341 that divides 341 without a remainder.

1,11,31,341

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Factors of 737

List of positive integer factors of 737 that divides 737 without a remainder.

1,11,67,737

Greatest Common Factor

We found the factors 341,748,737 . The biggest common factor number is the GCF number.
So the greatest common factor 341,748,737 is 11.


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 61/341, 529/748, 759/737

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 61/341, 529/748, 759/737?

Answer: LCM of Numerators as per given numbers 61/341, 529/748, 759/737 is

LCM of Numerators i.e. for 61,529,759 is 1064877

GCF of denominators i.e. for 341,748,737 is 11.

Thus, LCM of Fractions is 96807.Finally, LCM of Fractions for 61/341, 529/748, 759/737 is 96807.