Least Common Multiple of 1274/962, 1124/4914

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1274/962, 1124/4914 quickly i.e. 27538 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1274/962, 1124/4914 is 27538.

LCM(1274/962, 1124/4914) = 27538

LCM of 1274/962, 1124/4914

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 1274/962,1124/4914

Given numbers are 1274/962,1124/4914

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 1274,1124

Least Common Multiple of Numerators i.e. LCM of 1274,1124 is 715988.

GCF of Denominators means GCF of 962,4914 as per the given fractions.

GCF of 962,4914 is 26 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1274,1124

LCM of Fractions 1274/962,1124/4914 is 27538

2 1274, 1124
637, 562

∴ So the LCM of the given numbers is 2 x 637 x 562 = 715988

Least Common Multiple of 1274,1124 with GCF Formula

Least Common Multiple of 1274,1124 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 1274,1124 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1274,1124) = 2

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

GCF(1274,1124) x common factors =2 x 1 = 2

LCM(1274,1124) = ( 1274 × 1124 ) / 2

LCM(1274,1124) = 1431976 / 2

LCM(1274,1124) = 715988


Lets's calculate GCF of 962,4914

2 962, 4914
13 481, 2457
37, 189

∴ So the GCF of the given numbers is 2 x 13 = 26

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 715988/26

Therefore the LCM of Fractions 1274/962,1124/4914 is 27538

Greatest Common Factor of 962,4914 By Matching Biggest Common Factor Method

Greatest Common Factor of 962,4914 By Matching Biggest Common Factor Method

Factors of 962

List of positive integer factors of 962 that divides 962 without a remainder.

1,2,13,26,37,74,481,962

Factors of 4914

List of positive integer factors of 4914 that divides 4914 without a remainder.

1,2,3,6,7,9,13,14,18,21,26,27,39,42,54,63,78,91,117,126,182,189,234,273,351,378,546,702,819,1638,2457,4914

Greatest Common Factor

We found the factors 962,4914 . The biggest common factor number is the GCF number.
So the greatest common factor 962,4914 is 26.


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 1274/962, 1124/4914

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 1274/962, 1124/4914?

Answer: LCM of Numerators as per given numbers 1274/962, 1124/4914 is

LCM of Numerators i.e. for 1274,1124 is 715988

GCF of denominators i.e. for 962,4914 is 26.

Thus, LCM of Fractions is 27538.Finally, LCM of Fractions for 1274/962, 1124/4914 is 27538.