Least Common Multiple of 49/453, 67/978, 932/980

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/453, 67/978, 932/980 quickly i.e. 3059756 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/453, 67/978, 932/980 is 3059756.

LCM(49/453, 67/978, 932/980) = 3059756

LCM of 49/453, 67/978, 932/980

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 49/453,67/978,932/980

Given numbers are 49/453,67/978,932/980

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 49,67,932

Least Common Multiple of Numerators i.e. LCM of 49,67,932 is 3059756.

GCF of Denominators means GCF of 453,978,980 as per the given fractions.

GCF of 453,978,980 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,67,932

LCM of Fractions 49/453,67/978,932/980 is 3059756

Given numbers has no common factors except 1. So, there LCM is their product i.e 3059756

Least Common Multiple of 49,67,932 with GCF Formula

Least Common Multiple of 49,67,932 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 49,67,932 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,67,932) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(49,67,932) x common factors =1 x 1 = 1

LCM(49,67,932) = ( 49 × 67 × 932 ) / 1

LCM(49,67,932) = 3059756 / 1

LCM(49,67,932) = 3059756


Lets's calculate GCF of 453,978,980

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3059756/1

Therefore the LCM of Fractions 49/453,67/978,932/980 is 3059756

Greatest Common Factor of 453,978,980 By Matching Biggest Common Factor Method

Greatest Common Factor of 453,978,980 By Matching Biggest Common Factor Method

Factors of 453

List of positive integer factors of 453 that divides 453 without a remainder.

1,3,151,453

Factors of 978

List of positive integer factors of 978 that divides 978 without a remainder.

1,2,3,6,163,326,489,978

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Greatest Common Factor

We found the factors 453,978,980 . The biggest common factor number is the GCF number.
So the greatest common factor 453,978,980 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 49/453, 67/978, 932/980

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 49/453, 67/978, 932/980?

Answer: LCM of Numerators as per given numbers 49/453, 67/978, 932/980 is

LCM of Numerators i.e. for 49,67,932 is 3059756

GCF of denominators i.e. for 453,978,980 is 1.

Thus, LCM of Fractions is 3059756.Finally, LCM of Fractions for 49/453, 67/978, 932/980 is 3059756.