Least Common Multiple of 49/250, 273/989, 102/736

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/250, 273/989, 102/736 quickly i.e. 64974 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/250, 273/989, 102/736 is 64974.

LCM(49/250, 273/989, 102/736) = 64974

LCM of 49/250, 273/989, 102/736

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 49/250,273/989,102/736

Given numbers are 49/250,273/989,102/736

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 49,273,102

Least Common Multiple of Numerators i.e. LCM of 49,273,102 is 64974.

GCF of Denominators means GCF of 250,989,736 as per the given fractions.

GCF of 250,989,736 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,273,102

LCM of Fractions 49/250,273/989,102/736 is 64974

3 49, 273, 102
7 49, 91, 34
7, 13, 34

∴ So the LCM of the given numbers is 3 x 7 x 7 x 13 x 34 = 64974

Least Common Multiple of 49,273,102 with GCF Formula

Least Common Multiple of 49,273,102 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 49,273,102 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,273,102) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(49,273,102) x common factors =1 x 21 = 21

LCM(49,273,102) = ( 49 × 273 × 102 ) / 21

LCM(49,273,102) = 1364454 / 21

LCM(49,273,102) = 64974


Lets's calculate GCF of 250,989,736

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 64974/1

Therefore the LCM of Fractions 49/250,273/989,102/736 is 64974

Greatest Common Factor of 250,989,736 By Matching Biggest Common Factor Method

Greatest Common Factor of 250,989,736 By Matching Biggest Common Factor Method

Factors of 250

List of positive integer factors of 250 that divides 250 without a remainder.

1,2,5,10,25,50,125,250

Factors of 989

List of positive integer factors of 989 that divides 989 without a remainder.

1,23,43,989

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Greatest Common Factor

We found the factors 250,989,736 . The biggest common factor number is the GCF number.
So the greatest common factor 250,989,736 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 49/250, 273/989, 102/736

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 49/250, 273/989, 102/736?

Answer: LCM of Numerators as per given numbers 49/250, 273/989, 102/736 is

LCM of Numerators i.e. for 49,273,102 is 64974

GCF of denominators i.e. for 250,989,736 is 1.

Thus, LCM of Fractions is 64974.Finally, LCM of Fractions for 49/250, 273/989, 102/736 is 64974.