Least Common Multiple of 78/847, 54/533, 748/671

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/847, 54/533, 748/671 quickly i.e. 262548 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/847, 54/533, 748/671 is 262548.

LCM(78/847, 54/533, 748/671) = 262548

LCM of 78/847, 54/533, 748/671

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 78/847,54/533,748/671

Given numbers are 78/847,54/533,748/671

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 78,54,748

Least Common Multiple of Numerators i.e. LCM of 78,54,748 is 262548.

GCF of Denominators means GCF of 847,533,671 as per the given fractions.

GCF of 847,533,671 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,54,748

LCM of Fractions 78/847,54/533,748/671 is 262548

2 78, 54, 748
3 39, 27, 374
13, 9, 374

∴ So the LCM of the given numbers is 2 x 3 x 13 x 9 x 374 = 262548

Least Common Multiple of 78,54,748 with GCF Formula

Least Common Multiple of 78,54,748 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 78,54,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,54,748) = 2

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

GCF(78,54,748) x common factors =2 x 6 = 12

LCM(78,54,748) = ( 78 × 54 × 748 ) / 12

LCM(78,54,748) = 3150576 / 12

LCM(78,54,748) = 262548


Lets's calculate GCF of 847,533,671

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 262548/1

Therefore the LCM of Fractions 78/847,54/533,748/671 is 262548

Greatest Common Factor of 847,533,671 By Matching Biggest Common Factor Method

Greatest Common Factor of 847,533,671 By Matching Biggest Common Factor Method

Factors of 847

List of positive integer factors of 847 that divides 847 without a remainder.

1,7,11,77,121,847

Factors of 533

List of positive integer factors of 533 that divides 533 without a remainder.

1,13,41,533

Factors of 671

List of positive integer factors of 671 that divides 671 without a remainder.

1,11,61,671

Greatest Common Factor

We found the factors 847,533,671 . The biggest common factor number is the GCF number.
So the greatest common factor 847,533,671 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 78/847, 54/533, 748/671

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 78/847, 54/533, 748/671?

Answer: LCM of Numerators as per given numbers 78/847, 54/533, 748/671 is

LCM of Numerators i.e. for 78,54,748 is 262548

GCF of denominators i.e. for 847,533,671 is 1.

Thus, LCM of Fractions is 262548.Finally, LCM of Fractions for 78/847, 54/533, 748/671 is 262548.