Least Common Multiple of 84/767, 836/298, 264/672

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/767, 836/298, 264/672 quickly i.e. 35112 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/767, 836/298, 264/672 is 35112.

LCM(84/767, 836/298, 264/672) = 35112

LCM of 84/767, 836/298, 264/672

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 84/767,836/298,264/672

Given numbers are 84/767,836/298,264/672

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 84,836,264

Least Common Multiple of Numerators i.e. LCM of 84,836,264 is 35112.

GCF of Denominators means GCF of 767,298,672 as per the given fractions.

GCF of 767,298,672 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,836,264

LCM of Fractions 84/767,836/298,264/672 is 35112

2 84, 836, 264
2 42, 418, 132
3 21, 209, 66
11 7, 209, 22
7, 19, 2

∴ So the LCM of the given numbers is 2 x 2 x 3 x 11 x 7 x 19 x 2 = 35112

Least Common Multiple of 84,836,264 with GCF Formula

Least Common Multiple of 84,836,264 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 84,836,264 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,836,264) = 4

common factors(in case of two or more numbers have common factors) = 132

GCF(84,836,264) x common factors =4 x 132 = 528

LCM(84,836,264) = ( 84 × 836 × 264 ) / 528

LCM(84,836,264) = 18539136 / 528

LCM(84,836,264) = 35112


Lets's calculate GCF of 767,298,672

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35112/1

Therefore the LCM of Fractions 84/767,836/298,264/672 is 35112

Greatest Common Factor of 767,298,672 By Matching Biggest Common Factor Method

Greatest Common Factor of 767,298,672 By Matching Biggest Common Factor Method

Factors of 767

List of positive integer factors of 767 that divides 767 without a remainder.

1,13,59,767

Factors of 298

List of positive integer factors of 298 that divides 298 without a remainder.

1,2,149,298

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Greatest Common Factor

We found the factors 767,298,672 . The biggest common factor number is the GCF number.
So the greatest common factor 767,298,672 is 1.


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 84/767, 836/298, 264/672

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 84/767, 836/298, 264/672?

Answer: LCM of Numerators as per given numbers 84/767, 836/298, 264/672 is

LCM of Numerators i.e. for 84,836,264 is 35112

GCF of denominators i.e. for 767,298,672 is 1.

Thus, LCM of Fractions is 35112.Finally, LCM of Fractions for 84/767, 836/298, 264/672 is 35112.