Least Common Multiple of 77/578, 836/316, 353/840

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/578, 836/316, 353/840 quickly i.e. 1032878 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/578, 836/316, 353/840 is 1032878.

LCM(77/578, 836/316, 353/840) = 1032878

LCM of 77/578, 836/316, 353/840

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 77/578,836/316,353/840

Given numbers are 77/578,836/316,353/840

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 77,836,353

Least Common Multiple of Numerators i.e. LCM of 77,836,353 is 2065756.

GCF of Denominators means GCF of 578,316,840 as per the given fractions.

GCF of 578,316,840 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,836,353

LCM of Fractions 77/578,836/316,353/840 is 1032878

11 77, 836, 353
7, 76, 353

∴ So the LCM of the given numbers is 11 x 7 x 76 x 353 = 2065756

Least Common Multiple of 77,836,353 with GCF Formula

Least Common Multiple of 77,836,353 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 77,836,353 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,836,353) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(77,836,353) x common factors =1 x 11 = 11

LCM(77,836,353) = ( 77 × 836 × 353 ) / 11

LCM(77,836,353) = 22723316 / 11

LCM(77,836,353) = 2065756


Lets's calculate GCF of 578,316,840

2 578, 316, 840
289, 158, 420

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2065756/2

Therefore the LCM of Fractions 77/578,836/316,353/840 is 1032878

Greatest Common Factor of 578,316,840 By Matching Biggest Common Factor Method

Greatest Common Factor of 578,316,840 By Matching Biggest Common Factor Method

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Factors of 316

List of positive integer factors of 316 that divides 316 without a remainder.

1,2,4,79,158,316

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Greatest Common Factor

We found the factors 578,316,840 . The biggest common factor number is the GCF number.
So the greatest common factor 578,316,840 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 77/578, 836/316, 353/840

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 77/578, 836/316, 353/840?

Answer: LCM of Numerators as per given numbers 77/578, 836/316, 353/840 is

LCM of Numerators i.e. for 77,836,353 is 2065756

GCF of denominators i.e. for 578,316,840 is 2.

Thus, LCM of Fractions is 1032878.Finally, LCM of Fractions for 77/578, 836/316, 353/840 is 1032878.