Least Common Multiple of 35/78, 628/18, 998/876

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/78, 628/18, 998/876 quickly i.e. 10968020/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/78, 628/18, 998/876 is 10968020/6.

LCM(35/78, 628/18, 998/876) = 10968020/6

LCM of 35/78, 628/18, 998/876

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 35/78,628/18,998/876

Given numbers are 35/78,628/18,998/876

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 35,628,998

Least Common Multiple of Numerators i.e. LCM of 35,628,998 is 10968020.

GCF of Denominators means GCF of 78,18,876 as per the given fractions.

GCF of 78,18,876 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,628,998

LCM of Fractions 35/78,628/18,998/876 is 10968020/6

2 35, 628, 998
35, 314, 499

∴ So the LCM of the given numbers is 2 x 35 x 314 x 499 = 10968020

Least Common Multiple of 35,628,998 with GCF Formula

Least Common Multiple of 35,628,998 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 35,628,998 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,628,998) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(35,628,998) x common factors =1 x 2 = 2

LCM(35,628,998) = ( 35 × 628 × 998 ) / 2

LCM(35,628,998) = 21936040 / 2

LCM(35,628,998) = 10968020


Lets's calculate GCF of 78,18,876

2 78, 18, 876
3 39, 9, 438
13, 3, 146

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10968020/6

Therefore the LCM of Fractions 35/78,628/18,998/876 is 10968020/6

Greatest Common Factor of 78,18,876 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,18,876 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 876

List of positive integer factors of 876 that divides 876 without a remainder.

1,2,3,4,6,12,73,146,219,292,438,876

Greatest Common Factor

We found the factors 78,18,876 . The biggest common factor number is the GCF number.
So the greatest common factor 78,18,876 is 6.


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 35/78, 628/18, 998/876

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 35/78, 628/18, 998/876?

Answer: LCM of Numerators as per given numbers 35/78, 628/18, 998/876 is

LCM of Numerators i.e. for 35,628,998 is 10968020

GCF of denominators i.e. for 78,18,876 is 6.

Thus, LCM of Fractions is 10968020/6.Finally, LCM of Fractions for 35/78, 628/18, 998/876 is 10968020/6.