Least Common Multiple of 253/77, 353/77, 414/527

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 253/77, 353/77, 414/527 quickly i.e. 1607562 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 253/77, 353/77, 414/527 is 1607562.

LCM(253/77, 353/77, 414/527) = 1607562

LCM of 253/77, 353/77, 414/527

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 253/77,353/77,414/527

Given numbers are 253/77,353/77,414/527

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 253,353,414

Least Common Multiple of Numerators i.e. LCM of 253,353,414 is 1607562.

GCF of Denominators means GCF of 77,77,527 as per the given fractions.

GCF of 77,77,527 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 253,353,414

LCM of Fractions 253/77,353/77,414/527 is 1607562

23 253, 353, 414
11, 353, 18

∴ So the LCM of the given numbers is 23 x 11 x 353 x 18 = 1607562

Least Common Multiple of 253,353,414 with GCF Formula

Least Common Multiple of 253,353,414 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 253,353,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(253,353,414) = 1

common factors(in case of two or more numbers have common factors) = 23

GCF(253,353,414) x common factors =1 x 23 = 23

LCM(253,353,414) = ( 253 × 353 × 414 ) / 23

LCM(253,353,414) = 36973926 / 23

LCM(253,353,414) = 1607562


Lets's calculate GCF of 77,77,527

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1607562/1

Therefore the LCM of Fractions 253/77,353/77,414/527 is 1607562

Greatest Common Factor of 77,77,527 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,77,527 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 527

List of positive integer factors of 527 that divides 527 without a remainder.

1,17,31,527

Greatest Common Factor

We found the factors 77,77,527 . The biggest common factor number is the GCF number.
So the greatest common factor 77,77,527 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 253/77, 353/77, 414/527

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 253/77, 353/77, 414/527?

Answer: LCM of Numerators as per given numbers 253/77, 353/77, 414/527 is

LCM of Numerators i.e. for 253,353,414 is 1607562

GCF of denominators i.e. for 77,77,527 is 1.

Thus, LCM of Fractions is 1607562.Finally, LCM of Fractions for 253/77, 353/77, 414/527 is 1607562.