Least Common Multiple of 794/762, 8896/262

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 794/762, 8896/262 quickly i.e. 1765856 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 794/762, 8896/262 is 1765856.

LCM(794/762, 8896/262) = 1765856

LCM of 794/762, 8896/262

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 794/762,8896/262

Given numbers are 794/762,8896/262

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 794,8896

Least Common Multiple of Numerators i.e. LCM of 794,8896 is 3531712.

GCF of Denominators means GCF of 762,262 as per the given fractions.

GCF of 762,262 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 794,8896

LCM of Fractions 794/762,8896/262 is 1765856

2 794, 8896
397, 4448

∴ So the LCM of the given numbers is 2 x 397 x 4448 = 3531712

Least Common Multiple of 794,8896 with GCF Formula

Least Common Multiple of 794,8896 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 794,8896 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(794,8896) = 2

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

GCF(794,8896) x common factors =2 x 1 = 2

LCM(794,8896) = ( 794 × 8896 ) / 2

LCM(794,8896) = 7063424 / 2

LCM(794,8896) = 3531712


Lets's calculate GCF of 762,262

2 762, 262
381, 131

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3531712/2

Therefore the LCM of Fractions 794/762,8896/262 is 1765856

Greatest Common Factor of 762,262 By Matching Biggest Common Factor Method

Greatest Common Factor of 762,262 By Matching Biggest Common Factor Method

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Factors of 262

List of positive integer factors of 262 that divides 262 without a remainder.

1,2,131,262

Greatest Common Factor

We found the factors 762,262 . The biggest common factor number is the GCF number.
So the greatest common factor 762,262 is 2.


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Frequently Asked Questions on Fractional LCM of 794/762, 8896/262

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 794/762, 8896/262?

Answer: LCM of Numerators as per given numbers 794/762, 8896/262 is

LCM of Numerators i.e. for 794,8896 is 3531712

GCF of denominators i.e. for 762,262 is 2.

Thus, LCM of Fractions is 1765856.Finally, LCM of Fractions for 794/762, 8896/262 is 1765856.