Least Common Multiple of 699/739, 5604/757

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 699/739, 5604/757 quickly i.e. 1305732 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 699/739, 5604/757 is 1305732.

LCM(699/739, 5604/757) = 1305732

LCM of 699/739, 5604/757

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 699/739,5604/757

Given numbers are 699/739,5604/757

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 699,5604

Least Common Multiple of Numerators i.e. LCM of 699,5604 is 1305732.

GCF of Denominators means GCF of 739,757 as per the given fractions.

GCF of 739,757 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 699,5604

LCM of Fractions 699/739,5604/757 is 1305732

3 699, 5604
233, 1868

∴ So the LCM of the given numbers is 3 x 233 x 1868 = 1305732

Least Common Multiple of 699,5604 with GCF Formula

Least Common Multiple of 699,5604 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 699,5604 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(699,5604) = 3

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

GCF(699,5604) x common factors =3 x 1 = 3

LCM(699,5604) = ( 699 × 5604 ) / 3

LCM(699,5604) = 3917196 / 3

LCM(699,5604) = 1305732


Lets's calculate GCF of 739,757

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1305732/1

Therefore the LCM of Fractions 699/739,5604/757 is 1305732

Greatest Common Factor of 739,757 By Matching Biggest Common Factor Method

Greatest Common Factor of 739,757 By Matching Biggest Common Factor Method

Factors of 739

List of positive integer factors of 739 that divides 739 without a remainder.

1,739

Factors of 757

List of positive integer factors of 757 that divides 757 without a remainder.

1,757

Greatest Common Factor

We found the factors 739,757 . The biggest common factor number is the GCF number.
So the greatest common factor 739,757 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 699/739, 5604/757

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 699/739, 5604/757?

Answer: LCM of Numerators as per given numbers 699/739, 5604/757 is

LCM of Numerators i.e. for 699,5604 is 1305732

GCF of denominators i.e. for 739,757 is 1.

Thus, LCM of Fractions is 1305732.Finally, LCM of Fractions for 699/739, 5604/757 is 1305732.