Least Common Multiple of 92/774, 50/752, 643/322

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 92/774, 50/752, 643/322 quickly i.e. 739450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 92/774, 50/752, 643/322 is 739450.

LCM(92/774, 50/752, 643/322) = 739450

LCM of 92/774, 50/752, 643/322

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 92/774,50/752,643/322

Given numbers are 92/774,50/752,643/322

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 92,50,643

Least Common Multiple of Numerators i.e. LCM of 92,50,643 is 1478900.

GCF of Denominators means GCF of 774,752,322 as per the given fractions.

GCF of 774,752,322 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 92,50,643

LCM of Fractions 92/774,50/752,643/322 is 739450

2 92, 50, 643
46, 25, 643

∴ So the LCM of the given numbers is 2 x 46 x 25 x 643 = 1478900

Least Common Multiple of 92,50,643 with GCF Formula

Least Common Multiple of 92,50,643 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 92,50,643 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,50,643) = 1

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

GCF(92,50,643) x common factors =1 x 2 = 2

LCM(92,50,643) = ( 92 × 50 × 643 ) / 2

LCM(92,50,643) = 2957800 / 2

LCM(92,50,643) = 1478900


Lets's calculate GCF of 774,752,322

2 774, 752, 322
387, 376, 161

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1478900/2

Therefore the LCM of Fractions 92/774,50/752,643/322 is 739450

Greatest Common Factor of 774,752,322 By Matching Biggest Common Factor Method

Greatest Common Factor of 774,752,322 By Matching Biggest Common Factor Method

Factors of 774

List of positive integer factors of 774 that divides 774 without a remainder.

1,2,3,6,9,18,43,86,129,258,387,774

Factors of 752

List of positive integer factors of 752 that divides 752 without a remainder.

1,2,4,8,16,47,94,188,376,752

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Greatest Common Factor

We found the factors 774,752,322 . The biggest common factor number is the GCF number.
So the greatest common factor 774,752,322 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 92/774, 50/752, 643/322

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 92/774, 50/752, 643/322?

Answer: LCM of Numerators as per given numbers 92/774, 50/752, 643/322 is

LCM of Numerators i.e. for 92,50,643 is 1478900

GCF of denominators i.e. for 774,752,322 is 2.

Thus, LCM of Fractions is 739450.Finally, LCM of Fractions for 92/774, 50/752, 643/322 is 739450.