Least Common Multiple of 37/38, 35/45, 49/88, 999/70

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/38, 35/45, 49/88, 999/70 quickly i.e. 244755 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/38, 35/45, 49/88, 999/70 is 244755.

LCM(37/38, 35/45, 49/88, 999/70) = 244755

LCM of 37/38, 35/45, 49/88, 999/70

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 37/38,35/45,49/88,999/70

Given numbers are 37/38,35/45,49/88,999/70

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 37,35,49,999

Least Common Multiple of Numerators i.e. LCM of 37,35,49,999 is 244755.

GCF of Denominators means GCF of 38,45,88,70 as per the given fractions.

GCF of 38,45,88,70 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,35,49,999

LCM of Fractions 37/38,35/45,49/88,999/70 is 244755

7 37, 35, 49, 999
37 37, 5, 7, 999
1, 5, 7, 27

∴ So the LCM of the given numbers is 7 x 37 x 1 x 5 x 7 x 27 = 244755

Least Common Multiple of 37,35,49,999 with GCF Formula

Least Common Multiple of 37,35,49,999 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 37,35,49,999 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,35,49,999) = 1

common factors(in case of two or more numbers have common factors) = 259

GCF(37,35,49,999) x common factors =1 x 259 = 259

LCM(37,35,49,999) = ( 37 × 35 × 49 × 999 ) / 259

LCM(37,35,49,999) = 63391545 / 259

LCM(37,35,49,999) = 244755


Lets's calculate GCF of 38,45,88,70

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 244755/1

Therefore the LCM of Fractions 37/38,35/45,49/88,999/70 is 244755

Greatest Common Factor of 38,45,88,70 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,45,88,70 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Greatest Common Factor

We found the factors 38,45,88,70 . The biggest common factor number is the GCF number.
So the greatest common factor 38,45,88,70 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 37/38, 35/45, 49/88, 999/70

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 37/38, 35/45, 49/88, 999/70?

Answer: LCM of Numerators as per given numbers 37/38, 35/45, 49/88, 999/70 is

LCM of Numerators i.e. for 37,35,49,999 is 244755

GCF of denominators i.e. for 38,45,88,70 is 1.

Thus, LCM of Fractions is 244755.Finally, LCM of Fractions for 37/38, 35/45, 49/88, 999/70 is 244755.