Least Common Multiple of 807/96, 520/45, 926/847

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 807/96, 520/45, 926/847 quickly i.e. 194293320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 807/96, 520/45, 926/847 is 194293320.

LCM(807/96, 520/45, 926/847) = 194293320

LCM of 807/96, 520/45, 926/847

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 807/96,520/45,926/847

Given numbers are 807/96,520/45,926/847

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 807,520,926

Least Common Multiple of Numerators i.e. LCM of 807,520,926 is 194293320.

GCF of Denominators means GCF of 96,45,847 as per the given fractions.

GCF of 96,45,847 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 807,520,926

LCM of Fractions 807/96,520/45,926/847 is 194293320

2 807, 520, 926
807, 260, 463

∴ So the LCM of the given numbers is 2 x 807 x 260 x 463 = 194293320

Least Common Multiple of 807,520,926 with GCF Formula

Least Common Multiple of 807,520,926 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 807,520,926 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(807,520,926) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(807,520,926) x common factors =1 x 2 = 2

LCM(807,520,926) = ( 807 × 520 × 926 ) / 2

LCM(807,520,926) = 388586640 / 2

LCM(807,520,926) = 194293320


Lets's calculate GCF of 96,45,847

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 194293320/1

Therefore the LCM of Fractions 807/96,520/45,926/847 is 194293320

Greatest Common Factor of 96,45,847 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,45,847 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 847

List of positive integer factors of 847 that divides 847 without a remainder.

1,7,11,77,121,847

Greatest Common Factor

We found the factors 96,45,847 . The biggest common factor number is the GCF number.
So the greatest common factor 96,45,847 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 807/96, 520/45, 926/847

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 807/96, 520/45, 926/847?

Answer: LCM of Numerators as per given numbers 807/96, 520/45, 926/847 is

LCM of Numerators i.e. for 807,520,926 is 194293320

GCF of denominators i.e. for 96,45,847 is 1.

Thus, LCM of Fractions is 194293320.Finally, LCM of Fractions for 807/96, 520/45, 926/847 is 194293320.