Least Common Multiple of 918/355, 714/914, 726/632

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 918/355, 714/914, 726/632 quickly i.e. 777546 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 918/355, 714/914, 726/632 is 777546.

LCM(918/355, 714/914, 726/632) = 777546

LCM of 918/355, 714/914, 726/632

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 918/355,714/914,726/632

Given numbers are 918/355,714/914,726/632

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 918,714,726

Least Common Multiple of Numerators i.e. LCM of 918,714,726 is 777546.

GCF of Denominators means GCF of 355,914,632 as per the given fractions.

GCF of 355,914,632 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 918,714,726

LCM of Fractions 918/355,714/914,726/632 is 777546

2 918, 714, 726
3 459, 357, 363
17 153, 119, 121
9, 7, 121

∴ So the LCM of the given numbers is 2 x 3 x 17 x 9 x 7 x 121 = 777546

Least Common Multiple of 918,714,726 with GCF Formula

Least Common Multiple of 918,714,726 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 918,714,726 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(918,714,726) = 6

common factors(in case of two or more numbers have common factors) = 102

GCF(918,714,726) x common factors =6 x 102 = 612

LCM(918,714,726) = ( 918 × 714 × 726 ) / 612

LCM(918,714,726) = 475858152 / 612

LCM(918,714,726) = 777546


Lets's calculate GCF of 355,914,632

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 777546/1

Therefore the LCM of Fractions 918/355,714/914,726/632 is 777546

Greatest Common Factor of 355,914,632 By Matching Biggest Common Factor Method

Greatest Common Factor of 355,914,632 By Matching Biggest Common Factor Method

Factors of 355

List of positive integer factors of 355 that divides 355 without a remainder.

1,5,71,355

Factors of 914

List of positive integer factors of 914 that divides 914 without a remainder.

1,2,457,914

Factors of 632

List of positive integer factors of 632 that divides 632 without a remainder.

1,2,4,8,79,158,316,632

Greatest Common Factor

We found the factors 355,914,632 . The biggest common factor number is the GCF number.
So the greatest common factor 355,914,632 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 918/355, 714/914, 726/632

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 918/355, 714/914, 726/632?

Answer: LCM of Numerators as per given numbers 918/355, 714/914, 726/632 is

LCM of Numerators i.e. for 918,714,726 is 777546

GCF of denominators i.e. for 355,914,632 is 1.

Thus, LCM of Fractions is 777546.Finally, LCM of Fractions for 918/355, 714/914, 726/632 is 777546.