Least Common Multiple of 4074/84, 8499/702

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4074/84, 8499/702 quickly i.e. 1923607 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4074/84, 8499/702 is 1923607.

LCM(4074/84, 8499/702) = 1923607

LCM of 4074/84, 8499/702

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 4074/84,8499/702

Given numbers are 4074/84,8499/702

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 4074,8499

Least Common Multiple of Numerators i.e. LCM of 4074,8499 is 11541642.

GCF of Denominators means GCF of 84,702 as per the given fractions.

GCF of 84,702 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4074,8499

LCM of Fractions 4074/84,8499/702 is 1923607

3 4074, 8499
1358, 2833

∴ So the LCM of the given numbers is 3 x 1358 x 2833 = 11541642

Least Common Multiple of 4074,8499 with GCF Formula

Least Common Multiple of 4074,8499 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 4074,8499 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4074,8499) = 3

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

GCF(4074,8499) x common factors =3 x 1 = 3

LCM(4074,8499) = ( 4074 × 8499 ) / 3

LCM(4074,8499) = 34624926 / 3

LCM(4074,8499) = 11541642


Lets's calculate GCF of 84,702

2 84, 702
3 42, 351
14, 117

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11541642/6

Therefore the LCM of Fractions 4074/84,8499/702 is 1923607

Greatest Common Factor of 84,702 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,702 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 702

List of positive integer factors of 702 that divides 702 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Greatest Common Factor

We found the factors 84,702 . The biggest common factor number is the GCF number.
So the greatest common factor 84,702 is 6.


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 4074/84, 8499/702

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 4074/84, 8499/702?

Answer: LCM of Numerators as per given numbers 4074/84, 8499/702 is

LCM of Numerators i.e. for 4074,8499 is 11541642

GCF of denominators i.e. for 84,702 is 6.

Thus, LCM of Fractions is 1923607.Finally, LCM of Fractions for 4074/84, 8499/702 is 1923607.