Least Common Multiple of 35/772, 228/910, 109/398

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/772, 228/910, 109/398 quickly i.e. 434910 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/772, 228/910, 109/398 is 434910.

LCM(35/772, 228/910, 109/398) = 434910

LCM of 35/772, 228/910, 109/398

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 35/772,228/910,109/398

Given numbers are 35/772,228/910,109/398

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 35,228,109

Least Common Multiple of Numerators i.e. LCM of 35,228,109 is 869820.

GCF of Denominators means GCF of 772,910,398 as per the given fractions.

GCF of 772,910,398 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,228,109

LCM of Fractions 35/772,228/910,109/398 is 434910

Given numbers has no common factors except 1. So, there LCM is their product i.e 869820

Least Common Multiple of 35,228,109 with GCF Formula

Least Common Multiple of 35,228,109 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 35,228,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,228,109) = 1

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

GCF(35,228,109) x common factors =1 x 1 = 1

LCM(35,228,109) = ( 35 × 228 × 109 ) / 1

LCM(35,228,109) = 869820 / 1

LCM(35,228,109) = 869820


Lets's calculate GCF of 772,910,398

2 772, 910, 398
386, 455, 199

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 869820/2

Therefore the LCM of Fractions 35/772,228/910,109/398 is 434910

Greatest Common Factor of 772,910,398 By Matching Biggest Common Factor Method

Greatest Common Factor of 772,910,398 By Matching Biggest Common Factor Method

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1,2,4,193,386,772

Factors of 910

List of positive integer factors of 910 that divides 910 without a remainder.

1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Greatest Common Factor

We found the factors 772,910,398 . The biggest common factor number is the GCF number.
So the greatest common factor 772,910,398 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 35/772, 228/910, 109/398

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 35/772, 228/910, 109/398?

Answer: LCM of Numerators as per given numbers 35/772, 228/910, 109/398 is

LCM of Numerators i.e. for 35,228,109 is 869820

GCF of denominators i.e. for 772,910,398 is 2.

Thus, LCM of Fractions is 434910.Finally, LCM of Fractions for 35/772, 228/910, 109/398 is 434910.