Least Common Multiple of 698/55, 145/60, 542/753

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 698/55, 145/60, 542/753 quickly i.e. 27427910 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 698/55, 145/60, 542/753 is 27427910.

LCM(698/55, 145/60, 542/753) = 27427910

LCM of 698/55, 145/60, 542/753

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 698/55,145/60,542/753

Given numbers are 698/55,145/60,542/753

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 698,145,542

Least Common Multiple of Numerators i.e. LCM of 698,145,542 is 27427910.

GCF of Denominators means GCF of 55,60,753 as per the given fractions.

GCF of 55,60,753 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 698,145,542

LCM of Fractions 698/55,145/60,542/753 is 27427910

2 698, 145, 542
349, 145, 271

∴ So the LCM of the given numbers is 2 x 349 x 145 x 271 = 27427910

Least Common Multiple of 698,145,542 with GCF Formula

Least Common Multiple of 698,145,542 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 698,145,542 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(698,145,542) = 1

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

GCF(698,145,542) x common factors =1 x 2 = 2

LCM(698,145,542) = ( 698 × 145 × 542 ) / 2

LCM(698,145,542) = 54855820 / 2

LCM(698,145,542) = 27427910


Lets's calculate GCF of 55,60,753

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27427910/1

Therefore the LCM of Fractions 698/55,145/60,542/753 is 27427910

Greatest Common Factor of 55,60,753 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,60,753 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 753

List of positive integer factors of 753 that divides 753 without a remainder.

1,3,251,753

Greatest Common Factor

We found the factors 55,60,753 . The biggest common factor number is the GCF number.
So the greatest common factor 55,60,753 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 698/55, 145/60, 542/753

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 698/55, 145/60, 542/753?

Answer: LCM of Numerators as per given numbers 698/55, 145/60, 542/753 is

LCM of Numerators i.e. for 698,145,542 is 27427910

GCF of denominators i.e. for 55,60,753 is 1.

Thus, LCM of Fractions is 27427910.Finally, LCM of Fractions for 698/55, 145/60, 542/753 is 27427910.