Least Common Multiple of 34/42, 493/98, 696/552

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/42, 493/98, 696/552 quickly i.e. 5916 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/42, 493/98, 696/552 is 5916.

LCM(34/42, 493/98, 696/552) = 5916

LCM of 34/42, 493/98, 696/552

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 34/42,493/98,696/552

Given numbers are 34/42,493/98,696/552

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 34,493,696

Least Common Multiple of Numerators i.e. LCM of 34,493,696 is 11832.

GCF of Denominators means GCF of 42,98,552 as per the given fractions.

GCF of 42,98,552 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,493,696

LCM of Fractions 34/42,493/98,696/552 is 5916

2 34, 493, 696
17 17, 493, 348
29 1, 29, 348
1, 1, 12

∴ So the LCM of the given numbers is 2 x 17 x 29 x 1 x 1 x 12 = 11832

Least Common Multiple of 34,493,696 with GCF Formula

Least Common Multiple of 34,493,696 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 34,493,696 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,493,696) = 1

common factors(in case of two or more numbers have common factors) = 986

GCF(34,493,696) x common factors =1 x 986 = 986

LCM(34,493,696) = ( 34 × 493 × 696 ) / 986

LCM(34,493,696) = 11666352 / 986

LCM(34,493,696) = 11832


Lets's calculate GCF of 42,98,552

2 42, 98, 552
21, 49, 276

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11832/2

Therefore the LCM of Fractions 34/42,493/98,696/552 is 5916

Greatest Common Factor of 42,98,552 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,98,552 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 98

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

1,2,7,14,49,98

Factors of 552

List of positive integer factors of 552 that divides 552 without a remainder.

1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552

Greatest Common Factor

We found the factors 42,98,552 . The biggest common factor number is the GCF number.
So the greatest common factor 42,98,552 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 34/42, 493/98, 696/552

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 34/42, 493/98, 696/552?

Answer: LCM of Numerators as per given numbers 34/42, 493/98, 696/552 is

LCM of Numerators i.e. for 34,493,696 is 11832

GCF of denominators i.e. for 42,98,552 is 2.

Thus, LCM of Fractions is 5916.Finally, LCM of Fractions for 34/42, 493/98, 696/552 is 5916.