Least Common Multiple of 2851/614, 7236/662

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2851/614, 7236/662 quickly i.e. 10314918 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2851/614, 7236/662 is 10314918.

LCM(2851/614, 7236/662) = 10314918

LCM of 2851/614, 7236/662

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 2851/614,7236/662

Given numbers are 2851/614,7236/662

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 2851,7236

Least Common Multiple of Numerators i.e. LCM of 2851,7236 is 20629836.

GCF of Denominators means GCF of 614,662 as per the given fractions.

GCF of 614,662 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2851,7236

LCM of Fractions 2851/614,7236/662 is 10314918

Given numbers has no common factors except 1. So, there LCM is their product i.e 20629836

Least Common Multiple of 2851,7236 with GCF Formula

Least Common Multiple of 2851,7236 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 2851,7236 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2851,7236) = 1

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

GCF(2851,7236) x common factors =1 x 1 = 1

LCM(2851,7236) = ( 2851 × 7236 ) / 1

LCM(2851,7236) = 20629836 / 1

LCM(2851,7236) = 20629836


Lets's calculate GCF of 614,662

2 614, 662
307, 331

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20629836/2

Therefore the LCM of Fractions 2851/614,7236/662 is 10314918

Greatest Common Factor of 614,662 By Matching Biggest Common Factor Method

Greatest Common Factor of 614,662 By Matching Biggest Common Factor Method

Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1,2,307,614

Factors of 662

List of positive integer factors of 662 that divides 662 without a remainder.

1,2,331,662

Greatest Common Factor

We found the factors 614,662 . The biggest common factor number is the GCF number.
So the greatest common factor 614,662 is 2.


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 2851/614, 7236/662

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 2851/614, 7236/662?

Answer: LCM of Numerators as per given numbers 2851/614, 7236/662 is

LCM of Numerators i.e. for 2851,7236 is 20629836

GCF of denominators i.e. for 614,662 is 2.

Thus, LCM of Fractions is 10314918.Finally, LCM of Fractions for 2851/614, 7236/662 is 10314918.