Least Common Multiple of 143/38, 702/8028

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 143/38, 702/8028 quickly i.e. 3861 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 143/38, 702/8028 is 3861.

LCM(143/38, 702/8028) = 3861

LCM of 143/38, 702/8028

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 143/38,702/8028

Given numbers are 143/38,702/8028

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 143,702

Least Common Multiple of Numerators i.e. LCM of 143,702 is 7722.

GCF of Denominators means GCF of 38,8028 as per the given fractions.

GCF of 38,8028 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 143,702

LCM of Fractions 143/38,702/8028 is 3861

13 143, 702
11, 54

∴ So the LCM of the given numbers is 13 x 11 x 54 = 7722

Least Common Multiple of 143,702 with GCF Formula

Least Common Multiple of 143,702 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 143,702 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(143,702) = 13

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

GCF(143,702) x common factors =13 x 1 = 13

LCM(143,702) = ( 143 × 702 ) / 13

LCM(143,702) = 100386 / 13

LCM(143,702) = 7722


Lets's calculate GCF of 38,8028

2 38, 8028
19, 4014

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7722/2

Therefore the LCM of Fractions 143/38,702/8028 is 3861

Greatest Common Factor of 38,8028 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,8028 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 8028

List of positive integer factors of 8028 that divides 8028 without a remainder.

1,2,3,4,6,9,12,18,36,223,446,669,892,1338,2007,2676,4014,8028

Greatest Common Factor

We found the factors 38,8028 . The biggest common factor number is the GCF number.
So the greatest common factor 38,8028 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 143/38, 702/8028

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 143/38, 702/8028?

Answer: LCM of Numerators as per given numbers 143/38, 702/8028 is

LCM of Numerators i.e. for 143,702 is 7722

GCF of denominators i.e. for 38,8028 is 2.

Thus, LCM of Fractions is 3861.Finally, LCM of Fractions for 143/38, 702/8028 is 3861.