Least Common Multiple of 29/770, 78/916, 374/540

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/770, 78/916, 374/540 quickly i.e. 211497 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/770, 78/916, 374/540 is 211497.

LCM(29/770, 78/916, 374/540) = 211497

LCM of 29/770, 78/916, 374/540

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 29/770,78/916,374/540

Given numbers are 29/770,78/916,374/540

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 29,78,374

Least Common Multiple of Numerators i.e. LCM of 29,78,374 is 422994.

GCF of Denominators means GCF of 770,916,540 as per the given fractions.

GCF of 770,916,540 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,78,374

LCM of Fractions 29/770,78/916,374/540 is 211497

2 29, 78, 374
29, 39, 187

∴ So the LCM of the given numbers is 2 x 29 x 39 x 187 = 422994

Least Common Multiple of 29,78,374 with GCF Formula

Least Common Multiple of 29,78,374 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 29,78,374 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,78,374) = 1

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

GCF(29,78,374) x common factors =1 x 2 = 2

LCM(29,78,374) = ( 29 × 78 × 374 ) / 2

LCM(29,78,374) = 845988 / 2

LCM(29,78,374) = 422994


Lets's calculate GCF of 770,916,540

2 770, 916, 540
385, 458, 270

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 422994/2

Therefore the LCM of Fractions 29/770,78/916,374/540 is 211497

Greatest Common Factor of 770,916,540 By Matching Biggest Common Factor Method

Greatest Common Factor of 770,916,540 By Matching Biggest Common Factor Method

Factors of 770

List of positive integer factors of 770 that divides 770 without a remainder.

1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770

Factors of 916

List of positive integer factors of 916 that divides 916 without a remainder.

1,2,4,229,458,916

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 770,916,540 . The biggest common factor number is the GCF number.
So the greatest common factor 770,916,540 is 2.


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 29/770, 78/916, 374/540

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 29/770, 78/916, 374/540?

Answer: LCM of Numerators as per given numbers 29/770, 78/916, 374/540 is

LCM of Numerators i.e. for 29,78,374 is 422994

GCF of denominators i.e. for 770,916,540 is 2.

Thus, LCM of Fractions is 211497.Finally, LCM of Fractions for 29/770, 78/916, 374/540 is 211497.