Least Common Multiple of 4172/860, 7940/9496

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4172/860, 7940/9496 quickly i.e. 2070355 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4172/860, 7940/9496 is 2070355.

LCM(4172/860, 7940/9496) = 2070355

LCM of 4172/860, 7940/9496

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 4172/860,7940/9496

Given numbers are 4172/860,7940/9496

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 4172,7940

Least Common Multiple of Numerators i.e. LCM of 4172,7940 is 8281420.

GCF of Denominators means GCF of 860,9496 as per the given fractions.

GCF of 860,9496 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4172,7940

LCM of Fractions 4172/860,7940/9496 is 2070355

2 4172, 7940
2 2086, 3970
1043, 1985

∴ So the LCM of the given numbers is 2 x 2 x 1043 x 1985 = 8281420

Least Common Multiple of 4172,7940 with GCF Formula

Least Common Multiple of 4172,7940 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 4172,7940 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4172,7940) = 4

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

GCF(4172,7940) x common factors =4 x 1 = 4

LCM(4172,7940) = ( 4172 × 7940 ) / 4

LCM(4172,7940) = 33125680 / 4

LCM(4172,7940) = 8281420


Lets's calculate GCF of 860,9496

2 860, 9496
2 430, 4748
215, 2374

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8281420/4

Therefore the LCM of Fractions 4172/860,7940/9496 is 2070355

Greatest Common Factor of 860,9496 By Matching Biggest Common Factor Method

Greatest Common Factor of 860,9496 By Matching Biggest Common Factor Method

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Factors of 9496

List of positive integer factors of 9496 that divides 9496 without a remainder.

1,2,4,8,1187,2374,4748,9496

Greatest Common Factor

We found the factors 860,9496 . The biggest common factor number is the GCF number.
So the greatest common factor 860,9496 is 4.


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 4172/860, 7940/9496

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 4172/860, 7940/9496?

Answer: LCM of Numerators as per given numbers 4172/860, 7940/9496 is

LCM of Numerators i.e. for 4172,7940 is 8281420

GCF of denominators i.e. for 860,9496 is 4.

Thus, LCM of Fractions is 2070355.Finally, LCM of Fractions for 4172/860, 7940/9496 is 2070355.