Least Common Multiple of 70/473, 98/804, 648/540

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/473, 98/804, 648/540 quickly i.e. 158760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/473, 98/804, 648/540 is 158760.

LCM(70/473, 98/804, 648/540) = 158760

LCM of 70/473, 98/804, 648/540

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 70/473,98/804,648/540

Given numbers are 70/473,98/804,648/540

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 70,98,648

Least Common Multiple of Numerators i.e. LCM of 70,98,648 is 158760.

GCF of Denominators means GCF of 473,804,540 as per the given fractions.

GCF of 473,804,540 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,98,648

LCM of Fractions 70/473,98/804,648/540 is 158760

2 70, 98, 648
7 35, 49, 324
5, 7, 324

∴ So the LCM of the given numbers is 2 x 7 x 5 x 7 x 324 = 158760

Least Common Multiple of 70,98,648 with GCF Formula

Least Common Multiple of 70,98,648 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 70,98,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,98,648) = 2

common factors(in case of two or more numbers have common factors) = 14

GCF(70,98,648) x common factors =2 x 14 = 28

LCM(70,98,648) = ( 70 × 98 × 648 ) / 28

LCM(70,98,648) = 4445280 / 28

LCM(70,98,648) = 158760


Lets's calculate GCF of 473,804,540

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 158760/1

Therefore the LCM of Fractions 70/473,98/804,648/540 is 158760

Greatest Common Factor of 473,804,540 By Matching Biggest Common Factor Method

Greatest Common Factor of 473,804,540 By Matching Biggest Common Factor Method

Factors of 473

List of positive integer factors of 473 that divides 473 without a remainder.

1,11,43,473

Factors of 804

List of positive integer factors of 804 that divides 804 without a remainder.

1,2,3,4,6,12,67,134,201,268,402,804

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Greatest Common Factor

We found the factors 473,804,540 . The biggest common factor number is the GCF number.
So the greatest common factor 473,804,540 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 70/473, 98/804, 648/540

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 70/473, 98/804, 648/540?

Answer: LCM of Numerators as per given numbers 70/473, 98/804, 648/540 is

LCM of Numerators i.e. for 70,98,648 is 158760

GCF of denominators i.e. for 473,804,540 is 1.

Thus, LCM of Fractions is 158760.Finally, LCM of Fractions for 70/473, 98/804, 648/540 is 158760.