Least Common Multiple of 76/846, 25/764, 915/664

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 76/846, 25/764, 915/664 quickly i.e. 173850 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/846, 25/764, 915/664 is 173850.

LCM(76/846, 25/764, 915/664) = 173850

LCM of 76/846, 25/764, 915/664

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 76/846,25/764,915/664

Given numbers are 76/846,25/764,915/664

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 76,25,915

Least Common Multiple of Numerators i.e. LCM of 76,25,915 is 347700.

GCF of Denominators means GCF of 846,764,664 as per the given fractions.

GCF of 846,764,664 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,25,915

LCM of Fractions 76/846,25/764,915/664 is 173850

5 76, 25, 915
76, 5, 183

∴ So the LCM of the given numbers is 5 x 76 x 5 x 183 = 347700

Least Common Multiple of 76,25,915 with GCF Formula

Least Common Multiple of 76,25,915 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 76,25,915 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,25,915) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(76,25,915) x common factors =1 x 5 = 5

LCM(76,25,915) = ( 76 × 25 × 915 ) / 5

LCM(76,25,915) = 1738500 / 5

LCM(76,25,915) = 347700


Lets's calculate GCF of 846,764,664

2 846, 764, 664
423, 382, 332

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 347700/2

Therefore the LCM of Fractions 76/846,25/764,915/664 is 173850

Greatest Common Factor of 846,764,664 By Matching Biggest Common Factor Method

Greatest Common Factor of 846,764,664 By Matching Biggest Common Factor Method

Factors of 846

List of positive integer factors of 846 that divides 846 without a remainder.

1,2,3,6,9,18,47,94,141,282,423,846

Factors of 764

List of positive integer factors of 764 that divides 764 without a remainder.

1,2,4,191,382,764

Factors of 664

List of positive integer factors of 664 that divides 664 without a remainder.

1,2,4,8,83,166,332,664

Greatest Common Factor

We found the factors 846,764,664 . The biggest common factor number is the GCF number.
So the greatest common factor 846,764,664 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 76/846, 25/764, 915/664

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 76/846, 25/764, 915/664?

Answer: LCM of Numerators as per given numbers 76/846, 25/764, 915/664 is

LCM of Numerators i.e. for 76,25,915 is 347700

GCF of denominators i.e. for 846,764,664 is 2.

Thus, LCM of Fractions is 173850.Finally, LCM of Fractions for 76/846, 25/764, 915/664 is 173850.