Least Common Multiple of 736/982, 2546/134

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 736/982, 2546/134 quickly i.e. 468464 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 736/982, 2546/134 is 468464.

LCM(736/982, 2546/134) = 468464

LCM of 736/982, 2546/134

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 736/982,2546/134

Given numbers are 736/982,2546/134

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 736,2546

Least Common Multiple of Numerators i.e. LCM of 736,2546 is 936928.

GCF of Denominators means GCF of 982,134 as per the given fractions.

GCF of 982,134 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 736,2546

LCM of Fractions 736/982,2546/134 is 468464

2 736, 2546
368, 1273

∴ So the LCM of the given numbers is 2 x 368 x 1273 = 936928

Least Common Multiple of 736,2546 with GCF Formula

Least Common Multiple of 736,2546 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 736,2546 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(736,2546) = 2

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

GCF(736,2546) x common factors =2 x 1 = 2

LCM(736,2546) = ( 736 × 2546 ) / 2

LCM(736,2546) = 1873856 / 2

LCM(736,2546) = 936928


Lets's calculate GCF of 982,134

2 982, 134
491, 67

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 936928/2

Therefore the LCM of Fractions 736/982,2546/134 is 468464

Greatest Common Factor of 982,134 By Matching Biggest Common Factor Method

Greatest Common Factor of 982,134 By Matching Biggest Common Factor Method

Factors of 982

List of positive integer factors of 982 that divides 982 without a remainder.

1,2,491,982

Factors of 134

List of positive integer factors of 134 that divides 134 without a remainder.

1,2,67,134

Greatest Common Factor

We found the factors 982,134 . The biggest common factor number is the GCF number.
So the greatest common factor 982,134 is 2.


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Frequently Asked Questions on Fractional LCM of 736/982, 2546/134

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 736/982, 2546/134?

Answer: LCM of Numerators as per given numbers 736/982, 2546/134 is

LCM of Numerators i.e. for 736,2546 is 936928

GCF of denominators i.e. for 982,134 is 2.

Thus, LCM of Fractions is 468464.Finally, LCM of Fractions for 736/982, 2546/134 is 468464.