Least Common Multiple of 44/98, 220/75, 385/950

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 44/98, 220/75, 385/950 quickly i.e. 1540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/98, 220/75, 385/950 is 1540.

LCM(44/98, 220/75, 385/950) = 1540

LCM of 44/98, 220/75, 385/950

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 44/98,220/75,385/950

Given numbers are 44/98,220/75,385/950

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 44,220,385

Least Common Multiple of Numerators i.e. LCM of 44,220,385 is 1540.

GCF of Denominators means GCF of 98,75,950 as per the given fractions.

GCF of 98,75,950 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,220,385

LCM of Fractions 44/98,220/75,385/950 is 1540

2 44, 220, 385
2 22, 110, 385
5 11, 55, 385
11 11, 11, 77
1, 1, 7

∴ So the LCM of the given numbers is 2 x 2 x 5 x 11 x 1 x 1 x 7 = 1540

Least Common Multiple of 44,220,385 with GCF Formula

Least Common Multiple of 44,220,385 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 44,220,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,220,385) = 11

common factors(in case of two or more numbers have common factors) = 220

GCF(44,220,385) x common factors =11 x 220 = 2420

LCM(44,220,385) = ( 44 × 220 × 385 ) / 2420

LCM(44,220,385) = 3726800 / 2420

LCM(44,220,385) = 1540


Lets's calculate GCF of 98,75,950

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1540/1

Therefore the LCM of Fractions 44/98,220/75,385/950 is 1540

Greatest Common Factor of 98,75,950 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,75,950 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 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 950

List of positive integer factors of 950 that divides 950 without a remainder.

1,2,5,10,19,25,38,50,95,190,475,950

Greatest Common Factor

We found the factors 98,75,950 . The biggest common factor number is the GCF number.
So the greatest common factor 98,75,950 is 1.


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 44/98, 220/75, 385/950

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 44/98, 220/75, 385/950?

Answer: LCM of Numerators as per given numbers 44/98, 220/75, 385/950 is

LCM of Numerators i.e. for 44,220,385 is 1540

GCF of denominators i.e. for 98,75,950 is 1.

Thus, LCM of Fractions is 1540.Finally, LCM of Fractions for 44/98, 220/75, 385/950 is 1540.