Least Common Multiple of 678/42, 966/45, 895/748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 678/42, 966/45, 895/748 quickly i.e. 97696410 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 678/42, 966/45, 895/748 is 97696410.

LCM(678/42, 966/45, 895/748) = 97696410

LCM of 678/42, 966/45, 895/748

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 678/42,966/45,895/748

Given numbers are 678/42,966/45,895/748

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 678,966,895

Least Common Multiple of Numerators i.e. LCM of 678,966,895 is 97696410.

GCF of Denominators means GCF of 42,45,748 as per the given fractions.

GCF of 42,45,748 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 678,966,895

LCM of Fractions 678/42,966/45,895/748 is 97696410

2 678, 966, 895
3 339, 483, 895
113, 161, 895

∴ So the LCM of the given numbers is 2 x 3 x 113 x 161 x 895 = 97696410

Least Common Multiple of 678,966,895 with GCF Formula

Least Common Multiple of 678,966,895 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 678,966,895 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(678,966,895) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(678,966,895) x common factors =1 x 6 = 6

LCM(678,966,895) = ( 678 × 966 × 895 ) / 6

LCM(678,966,895) = 586178460 / 6

LCM(678,966,895) = 97696410


Lets's calculate GCF of 42,45,748

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 97696410/1

Therefore the LCM of Fractions 678/42,966/45,895/748 is 97696410

Greatest Common Factor of 42,45,748 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,45,748 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 45

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

1,3,5,9,15,45

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Greatest Common Factor

We found the factors 42,45,748 . The biggest common factor number is the GCF number.
So the greatest common factor 42,45,748 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 678/42, 966/45, 895/748

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 678/42, 966/45, 895/748?

Answer: LCM of Numerators as per given numbers 678/42, 966/45, 895/748 is

LCM of Numerators i.e. for 678,966,895 is 97696410

GCF of denominators i.e. for 42,45,748 is 1.

Thus, LCM of Fractions is 97696410.Finally, LCM of Fractions for 678/42, 966/45, 895/748 is 97696410.