Least Common Multiple of 78/892, 350/668, 376/438

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/892, 350/668, 376/438 quickly i.e. 1283100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/892, 350/668, 376/438 is 1283100.

LCM(78/892, 350/668, 376/438) = 1283100

LCM of 78/892, 350/668, 376/438

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 78/892,350/668,376/438

Given numbers are 78/892,350/668,376/438

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 78,350,376

Least Common Multiple of Numerators i.e. LCM of 78,350,376 is 2566200.

GCF of Denominators means GCF of 892,668,438 as per the given fractions.

GCF of 892,668,438 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,350,376

LCM of Fractions 78/892,350/668,376/438 is 1283100

2 78, 350, 376
39, 175, 188

∴ So the LCM of the given numbers is 2 x 39 x 175 x 188 = 2566200

Least Common Multiple of 78,350,376 with GCF Formula

Least Common Multiple of 78,350,376 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 78,350,376 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,350,376) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(78,350,376) x common factors =2 x 2 = 4

LCM(78,350,376) = ( 78 × 350 × 376 ) / 4

LCM(78,350,376) = 10264800 / 4

LCM(78,350,376) = 2566200


Lets's calculate GCF of 892,668,438

2 892, 668, 438
446, 334, 219

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2566200/2

Therefore the LCM of Fractions 78/892,350/668,376/438 is 1283100

Greatest Common Factor of 892,668,438 By Matching Biggest Common Factor Method

Greatest Common Factor of 892,668,438 By Matching Biggest Common Factor Method

Factors of 892

List of positive integer factors of 892 that divides 892 without a remainder.

1,2,4,223,446,892

Factors of 668

List of positive integer factors of 668 that divides 668 without a remainder.

1,2,4,167,334,668

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Greatest Common Factor

We found the factors 892,668,438 . The biggest common factor number is the GCF number.
So the greatest common factor 892,668,438 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 78/892, 350/668, 376/438

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 78/892, 350/668, 376/438?

Answer: LCM of Numerators as per given numbers 78/892, 350/668, 376/438 is

LCM of Numerators i.e. for 78,350,376 is 2566200

GCF of denominators i.e. for 892,668,438 is 2.

Thus, LCM of Fractions is 1283100.Finally, LCM of Fractions for 78/892, 350/668, 376/438 is 1283100.