Least Common Multiple of 34/716, 92/466, 795/998

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/716, 92/466, 795/998 quickly i.e. 621690 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/716, 92/466, 795/998 is 621690.

LCM(34/716, 92/466, 795/998) = 621690

LCM of 34/716, 92/466, 795/998

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 34/716,92/466,795/998

Given numbers are 34/716,92/466,795/998

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 34,92,795

Least Common Multiple of Numerators i.e. LCM of 34,92,795 is 1243380.

GCF of Denominators means GCF of 716,466,998 as per the given fractions.

GCF of 716,466,998 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,92,795

LCM of Fractions 34/716,92/466,795/998 is 621690

2 34, 92, 795
17, 46, 795

∴ So the LCM of the given numbers is 2 x 17 x 46 x 795 = 1243380

Least Common Multiple of 34,92,795 with GCF Formula

Least Common Multiple of 34,92,795 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 34,92,795 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,92,795) = 1

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

GCF(34,92,795) x common factors =1 x 2 = 2

LCM(34,92,795) = ( 34 × 92 × 795 ) / 2

LCM(34,92,795) = 2486760 / 2

LCM(34,92,795) = 1243380


Lets's calculate GCF of 716,466,998

2 716, 466, 998
358, 233, 499

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1243380/2

Therefore the LCM of Fractions 34/716,92/466,795/998 is 621690

Greatest Common Factor of 716,466,998 By Matching Biggest Common Factor Method

Greatest Common Factor of 716,466,998 By Matching Biggest Common Factor Method

Factors of 716

List of positive integer factors of 716 that divides 716 without a remainder.

1,2,4,179,358,716

Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1,2,233,466

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 716,466,998 . The biggest common factor number is the GCF number.
So the greatest common factor 716,466,998 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 34/716, 92/466, 795/998

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 34/716, 92/466, 795/998?

Answer: LCM of Numerators as per given numbers 34/716, 92/466, 795/998 is

LCM of Numerators i.e. for 34,92,795 is 1243380

GCF of denominators i.e. for 716,466,998 is 2.

Thus, LCM of Fractions is 621690.Finally, LCM of Fractions for 34/716, 92/466, 795/998 is 621690.