Least Common Multiple of 49/920, 889/737, 489/252

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/920, 889/737, 489/252 quickly i.e. 3043047 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/920, 889/737, 489/252 is 3043047.

LCM(49/920, 889/737, 489/252) = 3043047

LCM of 49/920, 889/737, 489/252

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 49/920,889/737,489/252

Given numbers are 49/920,889/737,489/252

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 49,889,489

Least Common Multiple of Numerators i.e. LCM of 49,889,489 is 3043047.

GCF of Denominators means GCF of 920,737,252 as per the given fractions.

GCF of 920,737,252 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,889,489

LCM of Fractions 49/920,889/737,489/252 is 3043047

7 49, 889, 489
7, 127, 489

∴ So the LCM of the given numbers is 7 x 7 x 127 x 489 = 3043047

Least Common Multiple of 49,889,489 with GCF Formula

Least Common Multiple of 49,889,489 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 49,889,489 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,889,489) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(49,889,489) x common factors =1 x 7 = 7

LCM(49,889,489) = ( 49 × 889 × 489 ) / 7

LCM(49,889,489) = 21301329 / 7

LCM(49,889,489) = 3043047


Lets's calculate GCF of 920,737,252

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3043047/1

Therefore the LCM of Fractions 49/920,889/737,489/252 is 3043047

Greatest Common Factor of 920,737,252 By Matching Biggest Common Factor Method

Greatest Common Factor of 920,737,252 By Matching Biggest Common Factor Method

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Factors of 737

List of positive integer factors of 737 that divides 737 without a remainder.

1,11,67,737

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Greatest Common Factor

We found the factors 920,737,252 . The biggest common factor number is the GCF number.
So the greatest common factor 920,737,252 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 49/920, 889/737, 489/252

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 49/920, 889/737, 489/252?

Answer: LCM of Numerators as per given numbers 49/920, 889/737, 489/252 is

LCM of Numerators i.e. for 49,889,489 is 3043047

GCF of denominators i.e. for 920,737,252 is 1.

Thus, LCM of Fractions is 3043047.Finally, LCM of Fractions for 49/920, 889/737, 489/252 is 3043047.