Least Common Multiple of 45/542, 870/647, 702/321

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/542, 870/647, 702/321 quickly i.e. 101790 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/542, 870/647, 702/321 is 101790.

LCM(45/542, 870/647, 702/321) = 101790

LCM of 45/542, 870/647, 702/321

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 45/542,870/647,702/321

Given numbers are 45/542,870/647,702/321

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 45,870,702

Least Common Multiple of Numerators i.e. LCM of 45,870,702 is 101790.

GCF of Denominators means GCF of 542,647,321 as per the given fractions.

GCF of 542,647,321 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,870,702

LCM of Fractions 45/542,870/647,702/321 is 101790

2 45, 870, 702
3 45, 435, 351
3 15, 145, 117
5 5, 145, 39
1, 29, 39

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 1 x 29 x 39 = 101790

Least Common Multiple of 45,870,702 with GCF Formula

Least Common Multiple of 45,870,702 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 45,870,702 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,870,702) = 3

common factors(in case of two or more numbers have common factors) = 90

GCF(45,870,702) x common factors =3 x 90 = 270

LCM(45,870,702) = ( 45 × 870 × 702 ) / 270

LCM(45,870,702) = 27483300 / 270

LCM(45,870,702) = 101790


Lets's calculate GCF of 542,647,321

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 101790/1

Therefore the LCM of Fractions 45/542,870/647,702/321 is 101790

Greatest Common Factor of 542,647,321 By Matching Biggest Common Factor Method

Greatest Common Factor of 542,647,321 By Matching Biggest Common Factor Method

Factors of 542

List of positive integer factors of 542 that divides 542 without a remainder.

1,2,271,542

Factors of 647

List of positive integer factors of 647 that divides 647 without a remainder.

1,647

Factors of 321

List of positive integer factors of 321 that divides 321 without a remainder.

1,3,107,321

Greatest Common Factor

We found the factors 542,647,321 . The biggest common factor number is the GCF number.
So the greatest common factor 542,647,321 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 45/542, 870/647, 702/321

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 45/542, 870/647, 702/321?

Answer: LCM of Numerators as per given numbers 45/542, 870/647, 702/321 is

LCM of Numerators i.e. for 45,870,702 is 101790

GCF of denominators i.e. for 542,647,321 is 1.

Thus, LCM of Fractions is 101790.Finally, LCM of Fractions for 45/542, 870/647, 702/321 is 101790.