Least Common Multiple of 35/98, 44/28, 410/110

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/98, 44/28, 410/110 quickly i.e. 31570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/98, 44/28, 410/110 is 31570.

LCM(35/98, 44/28, 410/110) = 31570

LCM of 35/98, 44/28, 410/110

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 35/98,44/28,410/110

Given numbers are 35/98,44/28,410/110

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 35,44,410

Least Common Multiple of Numerators i.e. LCM of 35,44,410 is 63140.

GCF of Denominators means GCF of 98,28,110 as per the given fractions.

GCF of 98,28,110 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,44,410

LCM of Fractions 35/98,44/28,410/110 is 31570

2 35, 44, 410
5 35, 22, 205
7, 22, 41

∴ So the LCM of the given numbers is 2 x 5 x 7 x 22 x 41 = 63140

Least Common Multiple of 35,44,410 with GCF Formula

Least Common Multiple of 35,44,410 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 35,44,410 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,44,410) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(35,44,410) x common factors =1 x 10 = 10

LCM(35,44,410) = ( 35 × 44 × 410 ) / 10

LCM(35,44,410) = 631400 / 10

LCM(35,44,410) = 63140


Lets's calculate GCF of 98,28,110

2 98, 28, 110
49, 14, 55

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 63140/2

Therefore the LCM of Fractions 35/98,44/28,410/110 is 31570

Greatest Common Factor of 98,28,110 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,28,110 By Matching Biggest Common Factor Method

Factors of 98

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

1,2,7,14,49,98

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 110

List of positive integer factors of 110 that divides 110 without a remainder.

1,2,5,10,11,22,55,110

Greatest Common Factor

We found the factors 98,28,110 . The biggest common factor number is the GCF number.
So the greatest common factor 98,28,110 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 35/98, 44/28, 410/110

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 35/98, 44/28, 410/110?

Answer: LCM of Numerators as per given numbers 35/98, 44/28, 410/110 is

LCM of Numerators i.e. for 35,44,410 is 63140

GCF of denominators i.e. for 98,28,110 is 2.

Thus, LCM of Fractions is 31570.Finally, LCM of Fractions for 35/98, 44/28, 410/110 is 31570.