Least Common Multiple of 526/777, 786/690, 361/946

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 526/777, 786/690, 361/946 quickly i.e. 74625198 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 526/777, 786/690, 361/946 is 74625198.

LCM(526/777, 786/690, 361/946) = 74625198

LCM of 526/777, 786/690, 361/946

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 526/777,786/690,361/946

Given numbers are 526/777,786/690,361/946

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 526,786,361

Least Common Multiple of Numerators i.e. LCM of 526,786,361 is 74625198.

GCF of Denominators means GCF of 777,690,946 as per the given fractions.

GCF of 777,690,946 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 526,786,361

LCM of Fractions 526/777,786/690,361/946 is 74625198

2 526, 786, 361
263, 393, 361

∴ So the LCM of the given numbers is 2 x 263 x 393 x 361 = 74625198

Least Common Multiple of 526,786,361 with GCF Formula

Least Common Multiple of 526,786,361 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 526,786,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(526,786,361) = 1

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

GCF(526,786,361) x common factors =1 x 2 = 2

LCM(526,786,361) = ( 526 × 786 × 361 ) / 2

LCM(526,786,361) = 149250396 / 2

LCM(526,786,361) = 74625198


Lets's calculate GCF of 777,690,946

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 74625198/1

Therefore the LCM of Fractions 526/777,786/690,361/946 is 74625198

Greatest Common Factor of 777,690,946 By Matching Biggest Common Factor Method

Greatest Common Factor of 777,690,946 By Matching Biggest Common Factor Method

Factors of 777

List of positive integer factors of 777 that divides 777 without a remainder.

1,3,7,21,37,111,259,777

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Factors of 946

List of positive integer factors of 946 that divides 946 without a remainder.

1,2,11,22,43,86,473,946

Greatest Common Factor

We found the factors 777,690,946 . The biggest common factor number is the GCF number.
So the greatest common factor 777,690,946 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 526/777, 786/690, 361/946

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 526/777, 786/690, 361/946?

Answer: LCM of Numerators as per given numbers 526/777, 786/690, 361/946 is

LCM of Numerators i.e. for 526,786,361 is 74625198

GCF of denominators i.e. for 777,690,946 is 1.

Thus, LCM of Fractions is 74625198.Finally, LCM of Fractions for 526/777, 786/690, 361/946 is 74625198.