Least Common Multiple of 92/704, 434/98, 774/998

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 92/704, 434/98, 774/998 quickly i.e. 3863034 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 92/704, 434/98, 774/998 is 3863034.

LCM(92/704, 434/98, 774/998) = 3863034

LCM of 92/704, 434/98, 774/998

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 92/704,434/98,774/998

Given numbers are 92/704,434/98,774/998

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 92,434,774

Least Common Multiple of Numerators i.e. LCM of 92,434,774 is 7726068.

GCF of Denominators means GCF of 704,98,998 as per the given fractions.

GCF of 704,98,998 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 92,434,774

LCM of Fractions 92/704,434/98,774/998 is 3863034

2 92, 434, 774
46, 217, 387

∴ So the LCM of the given numbers is 2 x 46 x 217 x 387 = 7726068

Least Common Multiple of 92,434,774 with GCF Formula

Least Common Multiple of 92,434,774 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 92,434,774 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,434,774) = 2

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

GCF(92,434,774) x common factors =2 x 2 = 4

LCM(92,434,774) = ( 92 × 434 × 774 ) / 4

LCM(92,434,774) = 30904272 / 4

LCM(92,434,774) = 7726068


Lets's calculate GCF of 704,98,998

2 704, 98, 998
352, 49, 499

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7726068/2

Therefore the LCM of Fractions 92/704,434/98,774/998 is 3863034

Greatest Common Factor of 704,98,998 By Matching Biggest Common Factor Method

Greatest Common Factor of 704,98,998 By Matching Biggest Common Factor Method

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 998

List of positive integer factors of 998 that divides 998 without a remainder.

1,2,499,998

Greatest Common Factor

We found the factors 704,98,998 . The biggest common factor number is the GCF number.
So the greatest common factor 704,98,998 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 92/704, 434/98, 774/998

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 92/704, 434/98, 774/998?

Answer: LCM of Numerators as per given numbers 92/704, 434/98, 774/998 is

LCM of Numerators i.e. for 92,434,774 is 7726068

GCF of denominators i.e. for 704,98,998 is 2.

Thus, LCM of Fractions is 3863034.Finally, LCM of Fractions for 92/704, 434/98, 774/998 is 3863034.