Least Common Multiple of 651/68, 319/280

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 651/68, 319/280 quickly i.e. 207669/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 651/68, 319/280 is 207669/4.

LCM(651/68, 319/280) = 207669/4

LCM of 651/68, 319/280

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 651/68,319/280

Given numbers are 651/68,319/280

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 651,319

Least Common Multiple of Numerators i.e. LCM of 651,319 is 207669.

GCF of Denominators means GCF of 68,280 as per the given fractions.

GCF of 68,280 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 651,319

LCM of Fractions 651/68,319/280 is 207669/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 207669

Least Common Multiple of 651,319 with GCF Formula

Least Common Multiple of 651,319 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 651,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(651,319) = 1

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

GCF(651,319) x common factors =1 x 1 = 1

LCM(651,319) = ( 651 × 319 ) / 1

LCM(651,319) = 207669 / 1

LCM(651,319) = 207669


Lets's calculate GCF of 68,280

2 68, 280
2 34, 140
17, 70

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 207669/4

Therefore the LCM of Fractions 651/68,319/280 is 207669/4

Greatest Common Factor of 68,280 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,280 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Greatest Common Factor

We found the factors 68,280 . The biggest common factor number is the GCF number.
So the greatest common factor 68,280 is 4.


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Frequently Asked Questions on Fractional LCM of 651/68, 319/280

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 651/68, 319/280?

Answer: LCM of Numerators as per given numbers 651/68, 319/280 is

LCM of Numerators i.e. for 651,319 is 207669

GCF of denominators i.e. for 68,280 is 4.

Thus, LCM of Fractions is 207669/4.Finally, LCM of Fractions for 651/68, 319/280 is 207669/4.